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Finding the Fourth Proportional to 10,642.88, 15,934.08 and 7,169.60

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Solution

The fourth proportional to 10,642.88, 15,934.08 and 7,169.60 is: 10,734.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.88 : 15,934.08 = 7,169.60 : x
  2. Step 2: Convert to fraction form
    10,642.88/15,934.08 = 7,169.60/x
  3. Step 3: Cross multiply
    10,642.88x = 15,934.08 × 7,169.60
  4. Step 4: Simplify right side
    10,642.88x = 114,240,979.97
  5. Step 5: Solve for x
    x = 114,240,979.97/10,642.88
  6. Step 6: Final answer
    x = 10,734.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.