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Finding the Fourth Proportional to 8,585.48, 12,878.16 and 5,642.48

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Solution

The fourth proportional to 8,585.48, 12,878.16 and 5,642.48 is: 8,463.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.48 : 12,878.16 = 5,642.48 : x
  2. Step 2: Convert to fraction form
    8,585.48/12,878.16 = 5,642.48/x
  3. Step 3: Cross multiply
    8,585.48x = 12,878.16 × 5,642.48
  4. Step 4: Simplify right side
    8,585.48x = 72,664,760.24
  5. Step 5: Solve for x
    x = 72,664,760.24/8,585.48
  6. Step 6: Final answer
    x = 8,463.68

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1.5x scale

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.