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Finding the Fourth Proportional to 7,711.98, 10,642.09 and 4,355.47

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Solution

The fourth proportional to 7,711.98, 10,642.09 and 4,355.47 is: 6,010.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.98 : 10,642.09 = 4,355.47 : x
  2. Step 2: Convert to fraction form
    7,711.98/10,642.09 = 4,355.47/x
  3. Step 3: Cross multiply
    7,711.98x = 10,642.09 × 4,355.47
  4. Step 4: Simplify right side
    7,711.98x = 46,351,314.62
  5. Step 5: Solve for x
    x = 46,351,314.62/7,711.98
  6. Step 6: Final answer
    x = 6,010.30

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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.