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Finding the Fourth Proportional to 10,115.94, 13,961.68 and 7,470.98

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Solution

The fourth proportional to 10,115.94, 13,961.68 and 7,470.98 is: 10,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115.94 : 13,961.68 = 7,470.98 : x
  2. Step 2: Convert to fraction form
    10,115.94/13,961.68 = 7,470.98/x
  3. Step 3: Cross multiply
    10,115.94x = 13,961.68 × 7,470.98
  4. Step 4: Simplify right side
    10,115.94x = 104,307,432.05
  5. Step 5: Solve for x
    x = 104,307,432.05/10,115.94
  6. Step 6: Final answer
    x = 10,311.20

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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.