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Finding the Fourth Proportional to 39,971, 59,956.50 and 10,787

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Solution

The fourth proportional to 39,971, 59,956.50 and 10,787 is: 16,180.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,971 : 59,956.50 = 10,787 : x
  2. Step 2: Convert to fraction form
    39,971/59,956.50 = 10,787/x
  3. Step 3: Cross multiply
    39,971x = 59,956.50 × 10,787
  4. Step 4: Simplify right side
    39,971x = 646,750,765.50
  5. Step 5: Solve for x
    x = 646,750,765.50/39,971
  6. Step 6: Final answer
    x = 16,180.50

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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.