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Finding the Fourth Proportional to 39,171, 58,756.50 and 9,987

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Solution

The fourth proportional to 39,171, 58,756.50 and 9,987 is: 14,980.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,171 : 58,756.50 = 9,987 : x
  2. Step 2: Convert to fraction form
    39,171/58,756.50 = 9,987/x
  3. Step 3: Cross multiply
    39,171x = 58,756.50 × 9,987
  4. Step 4: Simplify right side
    39,171x = 586,801,165.50
  5. Step 5: Solve for x
    x = 586,801,165.50/39,171
  6. Step 6: Final answer
    x = 14,980.50

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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.