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Finding the Fourth Proportional to 5,687.68, 7,842.14 and 4,744.84

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Solution

The fourth proportional to 5,687.68, 7,842.14 and 4,744.84 is: 6,542.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.68 : 7,842.14 = 4,744.84 : x
  2. Step 2: Convert to fraction form
    5,687.68/7,842.14 = 4,744.84/x
  3. Step 3: Cross multiply
    5,687.68x = 7,842.14 × 4,744.84
  4. Step 4: Simplify right side
    5,687.68x = 37,209,699.56
  5. Step 5: Solve for x
    x = 37,209,699.56/5,687.68
  6. Step 6: Final answer
    x = 6,542.16

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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.