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Finding the Fourth Proportional to 8,686.66, 11,987 and 5,542.50

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Solution

The fourth proportional to 8,686.66, 11,987 and 5,542.50 is: 7,648.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.66 : 11,987 = 5,542.50 : x
  2. Step 2: Convert to fraction form
    8,686.66/11,987 = 5,542.50/x
  3. Step 3: Cross multiply
    8,686.66x = 11,987 × 5,542.50
  4. Step 4: Simplify right side
    8,686.66x = 66,437,947.50
  5. Step 5: Solve for x
    x = 66,437,947.50/8,686.66
  6. Step 6: Final answer
    x = 7,648.27

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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.