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Finding the Fourth Proportional to 21,002.16, 31,502.86 and 5,207.16

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Solution

The fourth proportional to 21,002.16, 31,502.86 and 5,207.16 is: 7,810.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,002.16 : 31,502.86 = 5,207.16 : x
  2. Step 2: Convert to fraction form
    21,002.16/31,502.86 = 5,207.16/x
  3. Step 3: Cross multiply
    21,002.16x = 31,502.86 × 5,207.16
  4. Step 4: Simplify right side
    21,002.16x = 164,040,432.48
  5. Step 5: Solve for x
    x = 164,040,432.48/21,002.16
  6. Step 6: Final answer
    x = 7,810.65

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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.