Home / 9,105.31-13,663.28-3,840

Finding the Fourth Proportional to 9,105.31, 13,663.28 and 3,840

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Solution

The fourth proportional to 9,105.31, 13,663.28 and 3,840 is: 5,762.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.31 : 13,663.28 = 3,840 : x
  2. Step 2: Convert to fraction form
    9,105.31/13,663.28 = 3,840/x
  3. Step 3: Cross multiply
    9,105.31x = 13,663.28 × 3,840
  4. Step 4: Simplify right side
    9,105.31x = 52,466,995.20
  5. Step 5: Solve for x
    x = 52,466,995.20/9,105.31
  6. Step 6: Final answer
    x = 5,762.24

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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.