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Finding the Fourth Proportional to 21,535, 32,269.61 and 9,048.20

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Solution

The fourth proportional to 21,535, 32,269.61 and 9,048.20 is: 13,558.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,535 : 32,269.61 = 9,048.20 : x
  2. Step 2: Convert to fraction form
    21,535/32,269.61 = 9,048.20/x
  3. Step 3: Cross multiply
    21,535x = 32,269.61 × 9,048.20
  4. Step 4: Simplify right side
    21,535x = 291,981,885.20
  5. Step 5: Solve for x
    x = 291,981,885.20/21,535
  6. Step 6: Final answer
    x = 13,558.48

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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.