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Finding the Fourth Proportional to 21,214.71, 31,806.92 and 9,963.77

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Solution

The fourth proportional to 21,214.71, 31,806.92 and 9,963.77 is: 14,938.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,214.71 : 31,806.92 = 9,963.77 : x
  2. Step 2: Convert to fraction form
    21,214.71/31,806.92 = 9,963.77/x
  3. Step 3: Cross multiply
    21,214.71x = 31,806.92 × 9,963.77
  4. Step 4: Simplify right side
    21,214.71x = 316,916,626.43
  5. Step 5: Solve for x
    x = 316,916,626.43/21,214.71
  6. Step 6: Final answer
    x = 14,938.53

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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.