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Finding the Fourth Proportional to 39,779.64, 59,671.80 and 16,398

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Solution

The fourth proportional to 39,779.64, 59,671.80 and 16,398 is: 24,597.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,779.64 : 59,671.80 = 16,398 : x
  2. Step 2: Convert to fraction form
    39,779.64/59,671.80 = 16,398/x
  3. Step 3: Cross multiply
    39,779.64x = 59,671.80 × 16,398
  4. Step 4: Simplify right side
    39,779.64x = 978,498,176.40
  5. Step 5: Solve for x
    x = 978,498,176.40/39,779.64
  6. Step 6: Final answer
    x = 24,597.96

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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.