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Finding the Fourth Proportional to 8,454.65, 11,655 and 5,929.11

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Solution

The fourth proportional to 8,454.65, 11,655 and 5,929.11 is: 8,173.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.65 : 11,655 = 5,929.11 : x
  2. Step 2: Convert to fraction form
    8,454.65/11,655 = 5,929.11/x
  3. Step 3: Cross multiply
    8,454.65x = 11,655 × 5,929.11
  4. Step 4: Simplify right side
    8,454.65x = 69,103,777.05
  5. Step 5: Solve for x
    x = 69,103,777.05/8,454.65
  6. Step 6: Final answer
    x = 8,173.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.