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Finding the Fourth Proportional to 21,985.60, 32,956.80 and 19,652.80

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Solution

The fourth proportional to 21,985.60, 32,956.80 and 19,652.80 is: 29,459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,985.60 : 32,956.80 = 19,652.80 : x
  2. Step 2: Convert to fraction form
    21,985.60/32,956.80 = 19,652.80/x
  3. Step 3: Cross multiply
    21,985.60x = 32,956.80 × 19,652.80
  4. Step 4: Simplify right side
    21,985.60x = 647,693,399.04
  5. Step 5: Solve for x
    x = 647,693,399.04/21,985.60
  6. Step 6: Final answer
    x = 29,459.89

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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.