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Finding the Fourth Proportional to 11,424, 15,765.12 and 6,456

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Solution

The fourth proportional to 11,424, 15,765.12 and 6,456 is: 8,909.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424 : 15,765.12 = 6,456 : x
  2. Step 2: Convert to fraction form
    11,424/15,765.12 = 6,456/x
  3. Step 3: Cross multiply
    11,424x = 15,765.12 × 6,456
  4. Step 4: Simplify right side
    11,424x = 101,779,614.72
  5. Step 5: Solve for x
    x = 101,779,614.72/11,424
  6. Step 6: Final answer
    x = 8,909.28

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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.