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Finding the Fourth Proportional to 7,613.83, 10,506.84 and 4,427.38

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Solution

The fourth proportional to 7,613.83, 10,506.84 and 4,427.38 is: 6,109.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,613.83 : 10,506.84 = 4,427.38 : x
  2. Step 2: Convert to fraction form
    7,613.83/10,506.84 = 4,427.38/x
  3. Step 3: Cross multiply
    7,613.83x = 10,506.84 × 4,427.38
  4. Step 4: Simplify right side
    7,613.83x = 46,517,720.75
  5. Step 5: Solve for x
    x = 46,517,720.75/7,613.83
  6. Step 6: Final answer
    x = 6,109.64

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Half scale
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Double scale
Find fourth proportional to 7,614.83, 10,508.22 and 4,428.38
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.