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Finding the Fourth Proportional to 21,052.68, 31,567.41 and 8,569.50

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Solution

The fourth proportional to 21,052.68, 31,567.41 and 8,569.50 is: 12,849.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,052.68 : 31,567.41 = 8,569.50 : x
  2. Step 2: Convert to fraction form
    21,052.68/31,567.41 = 8,569.50/x
  3. Step 3: Cross multiply
    21,052.68x = 31,567.41 × 8,569.50
  4. Step 4: Simplify right side
    21,052.68x = 270,516,920.00
  5. Step 5: Solve for x
    x = 270,516,920.00/21,052.68
  6. Step 6: Final answer
    x = 12,849.52

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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.