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Finding the Fourth Proportional to 21,384.65, 32,057.53 and 9,691.49

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Solution

The fourth proportional to 21,384.65, 32,057.53 and 9,691.49 is: 14,528.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,384.65 : 32,057.53 = 9,691.49 : x
  2. Step 2: Convert to fraction form
    21,384.65/32,057.53 = 9,691.49/x
  3. Step 3: Cross multiply
    21,384.65x = 32,057.53 × 9,691.49
  4. Step 4: Simplify right side
    21,384.65x = 310,685,231.42
  5. Step 5: Solve for x
    x = 310,685,231.42/21,384.65
  6. Step 6: Final answer
    x = 14,528.42

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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.