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Finding the Fourth Proportional to 2,265.70, 3,398.55 and 1,901.20

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Solution

The fourth proportional to 2,265.70, 3,398.55 and 1,901.20 is: 2,851.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.70 : 3,398.55 = 1,901.20 : x
  2. Step 2: Convert to fraction form
    2,265.70/3,398.55 = 1,901.20/x
  3. Step 3: Cross multiply
    2,265.70x = 3,398.55 × 1,901.20
  4. Step 4: Simplify right side
    2,265.70x = 6,461,323.26
  5. Step 5: Solve for x
    x = 6,461,323.26/2,265.70
  6. Step 6: Final answer
    x = 2,851.80

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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.