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Finding the Fourth Proportional to 39,970.80, 59,957 and 13,705.72

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Solution

The fourth proportional to 39,970.80, 59,957 and 13,705.72 is: 20,558.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,970.80 : 59,957 = 13,705.72 : x
  2. Step 2: Convert to fraction form
    39,970.80/59,957 = 13,705.72/x
  3. Step 3: Cross multiply
    39,970.80x = 59,957 × 13,705.72
  4. Step 4: Simplify right side
    39,970.80x = 821,753,854.04
  5. Step 5: Solve for x
    x = 821,753,854.04/39,970.80
  6. Step 6: Final answer
    x = 20,558.85

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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.