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Finding the Fourth Proportional to 5,459.52, 8,186.44 and 1,948.20

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Solution

The fourth proportional to 5,459.52, 8,186.44 and 1,948.20 is: 2,921.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.52 : 8,186.44 = 1,948.20 : x
  2. Step 2: Convert to fraction form
    5,459.52/8,186.44 = 1,948.20/x
  3. Step 3: Cross multiply
    5,459.52x = 8,186.44 × 1,948.20
  4. Step 4: Simplify right side
    5,459.52x = 15,948,822.41
  5. Step 5: Solve for x
    x = 15,948,822.41/5,459.52
  6. Step 6: Final answer
    x = 2,921.29

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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.