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Finding the Fourth Proportional to 8,885.48, 12,257.88 and 5,742.68

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Solution

The fourth proportional to 8,885.48, 12,257.88 and 5,742.68 is: 7,922.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,885.48 : 12,257.88 = 5,742.68 : x
  2. Step 2: Convert to fraction form
    8,885.48/12,257.88 = 5,742.68/x
  3. Step 3: Cross multiply
    8,885.48x = 12,257.88 × 5,742.68
  4. Step 4: Simplify right side
    8,885.48x = 70,393,082.32
  5. Step 5: Solve for x
    x = 70,393,082.32/8,885.48
  6. Step 6: Final answer
    x = 7,922.26

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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.