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Finding the Fourth Proportional to 10,420.62, 14,365.50 and 7,431.30

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Solution

The fourth proportional to 10,420.62, 14,365.50 and 7,431.30 is: 10,244.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.62 : 14,365.50 = 7,431.30 : x
  2. Step 2: Convert to fraction form
    10,420.62/14,365.50 = 7,431.30/x
  3. Step 3: Cross multiply
    10,420.62x = 14,365.50 × 7,431.30
  4. Step 4: Simplify right side
    10,420.62x = 106,754,340.15
  5. Step 5: Solve for x
    x = 106,754,340.15/10,420.62
  6. Step 6: Final answer
    x = 10,244.53

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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.