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Finding the Fourth Proportional to 7,420.38, 10,240.14 and 4,063.22

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Solution

The fourth proportional to 7,420.38, 10,240.14 and 4,063.22 is: 5,607.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,420.38 : 10,240.14 = 4,063.22 : x
  2. Step 2: Convert to fraction form
    7,420.38/10,240.14 = 4,063.22/x
  3. Step 3: Cross multiply
    7,420.38x = 10,240.14 × 4,063.22
  4. Step 4: Simplify right side
    7,420.38x = 41,607,941.65
  5. Step 5: Solve for x
    x = 41,607,941.65/7,420.38
  6. Step 6: Final answer
    x = 5,607.25

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Half scale
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Double scale
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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.