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Finding the Fourth Proportional to 32,693.60, 49,043.40 and 12,985.76

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Solution

The fourth proportional to 32,693.60, 49,043.40 and 12,985.76 is: 19,479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,693.60 : 49,043.40 = 12,985.76 : x
  2. Step 2: Convert to fraction form
    32,693.60/49,043.40 = 12,985.76/x
  3. Step 3: Cross multiply
    32,693.60x = 49,043.40 × 12,985.76
  4. Step 4: Simplify right side
    32,693.60x = 636,865,821.98
  5. Step 5: Solve for x
    x = 636,865,821.98/32,693.60
  6. Step 6: Final answer
    x = 19,479.83

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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.