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Finding the Fourth Proportional to 7,494.32, 10,316.76 and 6,440.24

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Solution

The fourth proportional to 7,494.32, 10,316.76 and 6,440.24 is: 8,865.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.32 : 10,316.76 = 6,440.24 : x
  2. Step 2: Convert to fraction form
    7,494.32/10,316.76 = 6,440.24/x
  3. Step 3: Cross multiply
    7,494.32x = 10,316.76 × 6,440.24
  4. Step 4: Simplify right side
    7,494.32x = 66,442,410.42
  5. Step 5: Solve for x
    x = 66,442,410.42/7,494.32
  6. Step 6: Final answer
    x = 8,865.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.