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Finding the Fourth Proportional to 39,987, 59,981.58 and 12,285

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Solution

The fourth proportional to 39,987, 59,981.58 and 12,285 is: 18,427.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,987 : 59,981.58 = 12,285 : x
  2. Step 2: Convert to fraction form
    39,987/59,981.58 = 12,285/x
  3. Step 3: Cross multiply
    39,987x = 59,981.58 × 12,285
  4. Step 4: Simplify right side
    39,987x = 736,873,710.30
  5. Step 5: Solve for x
    x = 736,873,710.30/39,987
  6. Step 6: Final answer
    x = 18,427.83

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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.