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Finding the Fourth Proportional to 21,854.05, 32,750.02 and 9,978.64

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Solution

The fourth proportional to 21,854.05, 32,750.02 and 9,978.64 is: 14,953.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,854.05 : 32,750.02 = 9,978.64 : x
  2. Step 2: Convert to fraction form
    21,854.05/32,750.02 = 9,978.64/x
  3. Step 3: Cross multiply
    21,854.05x = 32,750.02 × 9,978.64
  4. Step 4: Simplify right side
    21,854.05x = 326,800,590.17
  5. Step 5: Solve for x
    x = 326,800,590.17/21,854.05
  6. Step 6: Final answer
    x = 14,953.78

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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.