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Finding the Fourth Proportional to 5,748.39, 8,617.78 and 5,287.14

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Solution

The fourth proportional to 5,748.39, 8,617.78 and 5,287.14 is: 7,926.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.39 : 8,617.78 = 5,287.14 : x
  2. Step 2: Convert to fraction form
    5,748.39/8,617.78 = 5,287.14/x
  3. Step 3: Cross multiply
    5,748.39x = 8,617.78 × 5,287.14
  4. Step 4: Simplify right side
    5,748.39x = 45,563,409.35
  5. Step 5: Solve for x
    x = 45,563,409.35/5,748.39
  6. Step 6: Final answer
    x = 7,926.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.