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Finding the Fourth Proportional to 11,065.70, 15,268.88 and 6,589.31

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Solution

The fourth proportional to 11,065.70, 15,268.88 and 6,589.31 is: 9,092.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,065.70 : 15,268.88 = 6,589.31 : x
  2. Step 2: Convert to fraction form
    11,065.70/15,268.88 = 6,589.31/x
  3. Step 3: Cross multiply
    11,065.70x = 15,268.88 × 6,589.31
  4. Step 4: Simplify right side
    11,065.70x = 100,611,274.38
  5. Step 5: Solve for x
    x = 100,611,274.38/11,065.70
  6. Step 6: Final answer
    x = 9,092.18

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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.