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Finding the Fourth Proportional to 8,539, 11,775.72 and 5,557.12

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Solution

The fourth proportional to 8,539, 11,775.72 and 5,557.12 is: 7,663.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539 : 11,775.72 = 5,557.12 : x
  2. Step 2: Convert to fraction form
    8,539/11,775.72 = 5,557.12/x
  3. Step 3: Cross multiply
    8,539x = 11,775.72 × 5,557.12
  4. Step 4: Simplify right side
    8,539x = 65,439,089.13
  5. Step 5: Solve for x
    x = 65,439,089.13/8,539
  6. Step 6: Final answer
    x = 7,663.55

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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.