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Finding the Fourth Proportional to 9,442.66, 13,023.12 and 8,381.20

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Solution

The fourth proportional to 9,442.66, 13,023.12 and 8,381.20 is: 11,559.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.66 : 13,023.12 = 8,381.20 : x
  2. Step 2: Convert to fraction form
    9,442.66/13,023.12 = 8,381.20/x
  3. Step 3: Cross multiply
    9,442.66x = 13,023.12 × 8,381.20
  4. Step 4: Simplify right side
    9,442.66x = 109,149,373.34
  5. Step 5: Solve for x
    x = 109,149,373.34/9,442.66
  6. Step 6: Final answer
    x = 11,559.18

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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.