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Finding the Fourth Proportional to 8,478.57, 12,633.27 and 8,101.32

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Solution

The fourth proportional to 8,478.57, 12,633.27 and 8,101.32 is: 12,071.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.57 : 12,633.27 = 8,101.32 : x
  2. Step 2: Convert to fraction form
    8,478.57/12,633.27 = 8,101.32/x
  3. Step 3: Cross multiply
    8,478.57x = 12,633.27 × 8,101.32
  4. Step 4: Simplify right side
    8,478.57x = 102,346,085.16
  5. Step 5: Solve for x
    x = 102,346,085.16/8,478.57
  6. Step 6: Final answer
    x = 12,071.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.