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Finding the Fourth Proportional to 10,420.55, 14,365.41 and 7,431.20

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Solution

The fourth proportional to 10,420.55, 14,365.41 and 7,431.20 is: 10,244.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.55 : 14,365.41 = 7,431.20 : x
  2. Step 2: Convert to fraction form
    10,420.55/14,365.41 = 7,431.20/x
  3. Step 3: Cross multiply
    10,420.55x = 14,365.41 × 7,431.20
  4. Step 4: Simplify right side
    10,420.55x = 106,752,234.79
  5. Step 5: Solve for x
    x = 106,752,234.79/10,420.55
  6. Step 6: Final answer
    x = 10,244.40

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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.