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Finding the Fourth Proportional to 11,000.16, 15,178.86 and 7,023.60

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Solution

The fourth proportional to 11,000.16, 15,178.86 and 7,023.60 is: 9,691.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000.16 : 15,178.86 = 7,023.60 : x
  2. Step 2: Convert to fraction form
    11,000.16/15,178.86 = 7,023.60/x
  3. Step 3: Cross multiply
    11,000.16x = 15,178.86 × 7,023.60
  4. Step 4: Simplify right side
    11,000.16x = 106,610,241.10
  5. Step 5: Solve for x
    x = 106,610,241.10/11,000.16
  6. Step 6: Final answer
    x = 9,691.70

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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.