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Finding the Fourth Proportional to 21,543.60, 32,270 and 9,866.64

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Solution

The fourth proportional to 21,543.60, 32,270 and 9,866.64 is: 14,779.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,543.60 : 32,270 = 9,866.64 : x
  2. Step 2: Convert to fraction form
    21,543.60/32,270 = 9,866.64/x
  3. Step 3: Cross multiply
    21,543.60x = 32,270 × 9,866.64
  4. Step 4: Simplify right side
    21,543.60x = 318,396,472.80
  5. Step 5: Solve for x
    x = 318,396,472.80/21,543.60
  6. Step 6: Final answer
    x = 14,779.17

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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.