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Finding the Fourth Proportional to 42,884, 64,288.80 and 16,607.84

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Solution

The fourth proportional to 42,884, 64,288.80 and 16,607.84 is: 24,897.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,884 : 64,288.80 = 16,607.84 : x
  2. Step 2: Convert to fraction form
    42,884/64,288.80 = 16,607.84/x
  3. Step 3: Cross multiply
    42,884x = 64,288.80 × 16,607.84
  4. Step 4: Simplify right side
    42,884x = 1,067,698,104.19
  5. Step 5: Solve for x
    x = 1,067,698,104.19/42,884
  6. Step 6: Final answer
    x = 24,897.35

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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.