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Finding the Fourth Proportional to 5,681.41, 7,842.77 and 3,819.49

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Solution

The fourth proportional to 5,681.41, 7,842.77 and 3,819.49 is: 5,272.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.41 : 7,842.77 = 3,819.49 : x
  2. Step 2: Convert to fraction form
    5,681.41/7,842.77 = 3,819.49/x
  3. Step 3: Cross multiply
    5,681.41x = 7,842.77 × 3,819.49
  4. Step 4: Simplify right side
    5,681.41x = 29,955,381.59
  5. Step 5: Solve for x
    x = 29,955,381.59/5,681.41
  6. Step 6: Final answer
    x = 5,272.53

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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.