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Finding the Fourth Proportional to 21,487.94, 32,210.94 and 9,011.71

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Solution

The fourth proportional to 21,487.94, 32,210.94 and 9,011.71 is: 13,508.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,487.94 : 32,210.94 = 9,011.71 : x
  2. Step 2: Convert to fraction form
    21,487.94/32,210.94 = 9,011.71/x
  3. Step 3: Cross multiply
    21,487.94x = 32,210.94 × 9,011.71
  4. Step 4: Simplify right side
    21,487.94x = 290,275,569.58
  5. Step 5: Solve for x
    x = 290,275,569.58/21,487.94
  6. Step 6: Final answer
    x = 13,508.77

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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.