Home / 10,440-14,407.20-5,724.30

Finding the Fourth Proportional to 10,440, 14,407.20 and 5,724.30

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Solution

The fourth proportional to 10,440, 14,407.20 and 5,724.30 is: 7,899.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,440 : 14,407.20 = 5,724.30 : x
  2. Step 2: Convert to fraction form
    10,440/14,407.20 = 5,724.30/x
  3. Step 3: Cross multiply
    10,440x = 14,407.20 × 5,724.30
  4. Step 4: Simplify right side
    10,440x = 82,471,134.96
  5. Step 5: Solve for x
    x = 82,471,134.96/10,440
  6. Step 6: Final answer
    x = 7,899.53

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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.