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Finding the Fourth Proportional to 5,677.32, 7,839.68 and 5,491.43

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Solution

The fourth proportional to 5,677.32, 7,839.68 and 5,491.43 is: 7,582.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.32 : 7,839.68 = 5,491.43 : x
  2. Step 2: Convert to fraction form
    5,677.32/7,839.68 = 5,491.43/x
  3. Step 3: Cross multiply
    5,677.32x = 7,839.68 × 5,491.43
  4. Step 4: Simplify right side
    5,677.32x = 43,051,053.94
  5. Step 5: Solve for x
    x = 43,051,053.94/5,677.32
  6. Step 6: Final answer
    x = 7,582.99

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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.