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Finding the Fourth Proportional to 7,613, 10,506.50 and 4,427.14

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Solution

The fourth proportional to 7,613, 10,506.50 and 4,427.14 is: 6,109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,613 : 10,506.50 = 4,427.14 : x
  2. Step 2: Convert to fraction form
    7,613/10,506.50 = 4,427.14/x
  3. Step 3: Cross multiply
    7,613x = 10,506.50 × 4,427.14
  4. Step 4: Simplify right side
    7,613x = 46,513,746.41
  5. Step 5: Solve for x
    x = 46,513,746.41/7,613
  6. Step 6: Final answer
    x = 6,109.78

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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.