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Finding the Fourth Proportional to 8,454.48, 12,680.48 and 4,946.10

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Solution

The fourth proportional to 8,454.48, 12,680.48 and 4,946.10 is: 7,418.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.48 : 12,680.48 = 4,946.10 : x
  2. Step 2: Convert to fraction form
    8,454.48/12,680.48 = 4,946.10/x
  3. Step 3: Cross multiply
    8,454.48x = 12,680.48 × 4,946.10
  4. Step 4: Simplify right side
    8,454.48x = 62,718,922.13
  5. Step 5: Solve for x
    x = 62,718,922.13/8,454.48
  6. Step 6: Final answer
    x = 7,418.42

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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.