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Finding the Fourth Proportional to 2,602.18, 3,900.36 and 1,041.80

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Solution

The fourth proportional to 2,602.18, 3,900.36 and 1,041.80 is: 1,561.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.18 : 3,900.36 = 1,041.80 : x
  2. Step 2: Convert to fraction form
    2,602.18/3,900.36 = 1,041.80/x
  3. Step 3: Cross multiply
    2,602.18x = 3,900.36 × 1,041.80
  4. Step 4: Simplify right side
    2,602.18x = 4,063,395.05
  5. Step 5: Solve for x
    x = 4,063,395.05/2,602.18
  6. Step 6: Final answer
    x = 1,561.53

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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.