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Finding the Fourth Proportional to 10,686.66, 14,766.48 and 9,259.44

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Solution

The fourth proportional to 10,686.66, 14,766.48 and 9,259.44 is: 12,794.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.66 : 14,766.48 = 9,259.44 : x
  2. Step 2: Convert to fraction form
    10,686.66/14,766.48 = 9,259.44/x
  3. Step 3: Cross multiply
    10,686.66x = 14,766.48 × 9,259.44
  4. Step 4: Simplify right side
    10,686.66x = 136,729,335.57
  5. Step 5: Solve for x
    x = 136,729,335.57/10,686.66
  6. Step 6: Final answer
    x = 12,794.39

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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.