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Finding the Fourth Proportional to 3,417.60, 5,126.60 and 1,077.68

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Solution

The fourth proportional to 3,417.60, 5,126.60 and 1,077.68 is: 1,616.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.60 : 5,126.60 = 1,077.68 : x
  2. Step 2: Convert to fraction form
    3,417.60/5,126.60 = 1,077.68/x
  3. Step 3: Cross multiply
    3,417.60x = 5,126.60 × 1,077.68
  4. Step 4: Simplify right side
    3,417.60x = 5,524,849.80
  5. Step 5: Solve for x
    x = 5,524,849.80/3,417.60
  6. Step 6: Final answer
    x = 1,616.59

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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.