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Finding the Fourth Proportional to 21,646.64, 32,464.28 and 9,795.80

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Solution

The fourth proportional to 21,646.64, 32,464.28 and 9,795.80 is: 14,691.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,646.64 : 32,464.28 = 9,795.80 : x
  2. Step 2: Convert to fraction form
    21,646.64/32,464.28 = 9,795.80/x
  3. Step 3: Cross multiply
    21,646.64x = 32,464.28 × 9,795.80
  4. Step 4: Simplify right side
    21,646.64x = 318,013,594.02
  5. Step 5: Solve for x
    x = 318,013,594.02/21,646.64
  6. Step 6: Final answer
    x = 14,691.13

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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.