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Finding the Fourth Proportional to 5,951.28, 8,926.80 and 1,569.12

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Solution

The fourth proportional to 5,951.28, 8,926.80 and 1,569.12 is: 2,353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,951.28 : 8,926.80 = 1,569.12 : x
  2. Step 2: Convert to fraction form
    5,951.28/8,926.80 = 1,569.12/x
  3. Step 3: Cross multiply
    5,951.28x = 8,926.80 × 1,569.12
  4. Step 4: Simplify right side
    5,951.28x = 14,007,220.42
  5. Step 5: Solve for x
    x = 14,007,220.42/5,951.28
  6. Step 6: Final answer
    x = 2,353.65

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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.