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Finding the Fourth Proportional to 21,132, 31,700.16 and 7,281

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Solution

The fourth proportional to 21,132, 31,700.16 and 7,281 is: 10,922.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,132 : 31,700.16 = 7,281 : x
  2. Step 2: Convert to fraction form
    21,132/31,700.16 = 7,281/x
  3. Step 3: Cross multiply
    21,132x = 31,700.16 × 7,281
  4. Step 4: Simplify right side
    21,132x = 230,808,864.96
  5. Step 5: Solve for x
    x = 230,808,864.96/21,132
  6. Step 6: Final answer
    x = 10,922.24

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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.