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Finding the Fourth Proportional to 7,443.76, 10,280.04 and 6,444.24

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Solution

The fourth proportional to 7,443.76, 10,280.04 and 6,444.24 is: 8,899.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.76 : 10,280.04 = 6,444.24 : x
  2. Step 2: Convert to fraction form
    7,443.76/10,280.04 = 6,444.24/x
  3. Step 3: Cross multiply
    7,443.76x = 10,280.04 × 6,444.24
  4. Step 4: Simplify right side
    7,443.76x = 66,247,044.97
  5. Step 5: Solve for x
    x = 66,247,044.97/7,443.76
  6. Step 6: Final answer
    x = 8,899.68

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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.