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Finding the Fourth Proportional to 21,678.52, 32,502 and 14,641.08

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Solution

The fourth proportional to 21,678.52, 32,502 and 14,641.08 is: 21,950.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678.52 : 32,502 = 14,641.08 : x
  2. Step 2: Convert to fraction form
    21,678.52/32,502 = 14,641.08/x
  3. Step 3: Cross multiply
    21,678.52x = 32,502 × 14,641.08
  4. Step 4: Simplify right side
    21,678.52x = 475,864,382.16
  5. Step 5: Solve for x
    x = 475,864,382.16/21,678.52
  6. Step 6: Final answer
    x = 21,950.96

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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.