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Finding the Fourth Proportional to 9,251.70, 12,978.30 and 9,251.70

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Solution

The fourth proportional to 9,251.70, 12,978.30 and 9,251.70 is: 12,978.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.70 : 12,978.30 = 9,251.70 : x
  2. Step 2: Convert to fraction form
    9,251.70/12,978.30 = 9,251.70/x
  3. Step 3: Cross multiply
    9,251.70x = 12,978.30 × 9,251.70
  4. Step 4: Simplify right side
    9,251.70x = 120,071,338.11
  5. Step 5: Solve for x
    x = 120,071,338.11/9,251.70
  6. Step 6: Final answer
    x = 12,978.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.