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Finding the Fourth Proportional to 15,311.64, 22,971.08 and 5,451.76

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Solution

The fourth proportional to 15,311.64, 22,971.08 and 5,451.76 is: 8,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,311.64 : 22,971.08 = 5,451.76 : x
  2. Step 2: Convert to fraction form
    15,311.64/22,971.08 = 5,451.76/x
  3. Step 3: Cross multiply
    15,311.64x = 22,971.08 × 5,451.76
  4. Step 4: Simplify right side
    15,311.64x = 125,232,815.10
  5. Step 5: Solve for x
    x = 125,232,815.10/15,311.64
  6. Step 6: Final answer
    x = 8,178.93

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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.