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Finding the Fourth Proportional to 8,481, 12,718.91 and 5,865.32

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Solution

The fourth proportional to 8,481, 12,718.91 and 5,865.32 is: 8,796.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,481 : 12,718.91 = 5,865.32 : x
  2. Step 2: Convert to fraction form
    8,481/12,718.91 = 5,865.32/x
  3. Step 3: Cross multiply
    8,481x = 12,718.91 × 5,865.32
  4. Step 4: Simplify right side
    8,481x = 74,600,384.28
  5. Step 5: Solve for x
    x = 74,600,384.28/8,481
  6. Step 6: Final answer
    x = 8,796.18

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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.