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Finding the Fourth Proportional to 11,424.48, 15,779.04 and 7,641.24

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Solution

The fourth proportional to 11,424.48, 15,779.04 and 7,641.24 is: 10,553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.48 : 15,779.04 = 7,641.24 : x
  2. Step 2: Convert to fraction form
    11,424.48/15,779.04 = 7,641.24/x
  3. Step 3: Cross multiply
    11,424.48x = 15,779.04 × 7,641.24
  4. Step 4: Simplify right side
    11,424.48x = 120,571,431.61
  5. Step 5: Solve for x
    x = 120,571,431.61/11,424.48
  6. Step 6: Final answer
    x = 10,553.78

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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.