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Finding the Fourth Proportional to 3,998.70, 5,998.40 and 1,077.18

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Solution

The fourth proportional to 3,998.70, 5,998.40 and 1,077.18 is: 1,615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.70 : 5,998.40 = 1,077.18 : x
  2. Step 2: Convert to fraction form
    3,998.70/5,998.40 = 1,077.18/x
  3. Step 3: Cross multiply
    3,998.70x = 5,998.40 × 1,077.18
  4. Step 4: Simplify right side
    3,998.70x = 6,461,356.51
  5. Step 5: Solve for x
    x = 6,461,356.51/3,998.70
  6. Step 6: Final answer
    x = 1,615.86

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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.