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Finding the Fourth Proportional to 11,509.59, 15,884.47 and 6,731.00

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Solution

The fourth proportional to 11,509.59, 15,884.47 and 6,731.00 is: 9,289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.59 : 15,884.47 = 6,731.00 : x
  2. Step 2: Convert to fraction form
    11,509.59/15,884.47 = 6,731.00/x
  3. Step 3: Cross multiply
    11,509.59x = 15,884.47 × 6,731.00
  4. Step 4: Simplify right side
    11,509.59x = 106,918,356.13
  5. Step 5: Solve for x
    x = 106,918,356.13/11,509.59
  6. Step 6: Final answer
    x = 9,289.50

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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.