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Finding the Fourth Proportional to 7,642.60, 10,523.38 and 5,757

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Solution

The fourth proportional to 7,642.60, 10,523.38 and 5,757 is: 7,927.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.60 : 10,523.38 = 5,757 : x
  2. Step 2: Convert to fraction form
    7,642.60/10,523.38 = 5,757/x
  3. Step 3: Cross multiply
    7,642.60x = 10,523.38 × 5,757
  4. Step 4: Simplify right side
    7,642.60x = 60,583,098.66
  5. Step 5: Solve for x
    x = 60,583,098.66/7,642.60
  6. Step 6: Final answer
    x = 7,927.03

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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.