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Finding the Fourth Proportional to 15,987.34, 23,987.92 and 8,583.16

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Solution

The fourth proportional to 15,987.34, 23,987.92 and 8,583.16 is: 12,878.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,987.34 : 23,987.92 = 8,583.16 : x
  2. Step 2: Convert to fraction form
    15,987.34/23,987.92 = 8,583.16/x
  3. Step 3: Cross multiply
    15,987.34x = 23,987.92 × 8,583.16
  4. Step 4: Simplify right side
    15,987.34x = 205,892,155.43
  5. Step 5: Solve for x
    x = 205,892,155.43/15,987.34
  6. Step 6: Final answer
    x = 12,878.45

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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.