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Finding the Fourth Proportional to 9,112.76, 13,670.76 and 6,948.44

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Solution

The fourth proportional to 9,112.76, 13,670.76 and 6,948.44 is: 10,423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112.76 : 13,670.76 = 6,948.44 : x
  2. Step 2: Convert to fraction form
    9,112.76/13,670.76 = 6,948.44/x
  3. Step 3: Cross multiply
    9,112.76x = 13,670.76 × 6,948.44
  4. Step 4: Simplify right side
    9,112.76x = 94,990,455.61
  5. Step 5: Solve for x
    x = 94,990,455.61/9,112.76
  6. Step 6: Final answer
    x = 10,423.90

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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.