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Finding the Fourth Proportional to 11,724.78, 17,575 and 7,332.14

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Solution

The fourth proportional to 11,724.78, 17,575 and 7,332.14 is: 10,990.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,724.78 : 17,575 = 7,332.14 : x
  2. Step 2: Convert to fraction form
    11,724.78/17,575 = 7,332.14/x
  3. Step 3: Cross multiply
    11,724.78x = 17,575 × 7,332.14
  4. Step 4: Simplify right side
    11,724.78x = 128,862,360.50
  5. Step 5: Solve for x
    x = 128,862,360.50/11,724.78
  6. Step 6: Final answer
    x = 10,990.60

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1.5x scale

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.