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Finding the Fourth Proportional to 11,591,985.40, 17,387,978.10 and 9,716,414.20

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Solution

The fourth proportional to 11,591,985.40, 17,387,978.10 and 9,716,414.20 is: 14,574,621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591,985.40 : 17,387,978.10 = 9,716,414.20 : x
  2. Step 2: Convert to fraction form
    11,591,985.40/17,387,978.10 = 9,716,414.20/x
  3. Step 3: Cross multiply
    11,591,985.40x = 17,387,978.10 × 9,716,414.20
  4. Step 4: Simplify right side
    11,591,985.40x = 168,948,797,320,129.03
  5. Step 5: Solve for x
    x = 168,948,797,320,129.03/11,591,985.40
  6. Step 6: Final answer
    x = 14,574,621.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.