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Finding the Fourth Proportional to 21,182.08, 31,776 and 7,332.16

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Solution

The fourth proportional to 21,182.08, 31,776 and 7,332.16 is: 10,999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,182.08 : 31,776 = 7,332.16 : x
  2. Step 2: Convert to fraction form
    21,182.08/31,776 = 7,332.16/x
  3. Step 3: Cross multiply
    21,182.08x = 31,776 × 7,332.16
  4. Step 4: Simplify right side
    21,182.08x = 232,986,716.16
  5. Step 5: Solve for x
    x = 232,986,716.16/21,182.08
  6. Step 6: Final answer
    x = 10,999.24

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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.