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Finding the Fourth Proportional to 11,259, 15,537.42 and 6,543.28

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Solution

The fourth proportional to 11,259, 15,537.42 and 6,543.28 is: 9,029.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,259 : 15,537.42 = 6,543.28 : x
  2. Step 2: Convert to fraction form
    11,259/15,537.42 = 6,543.28/x
  3. Step 3: Cross multiply
    11,259x = 15,537.42 × 6,543.28
  4. Step 4: Simplify right side
    11,259x = 101,665,708.96
  5. Step 5: Solve for x
    x = 101,665,708.96/11,259
  6. Step 6: Final answer
    x = 9,029.73

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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.