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Finding the Fourth Proportional to 1,761.40, 2,430.90 and 1,015.60

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Solution

The fourth proportional to 1,761.40, 2,430.90 and 1,015.60 is: 1,401.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.40 : 2,430.90 = 1,015.60 : x
  2. Step 2: Convert to fraction form
    1,761.40/2,430.90 = 1,015.60/x
  3. Step 3: Cross multiply
    1,761.40x = 2,430.90 × 1,015.60
  4. Step 4: Simplify right side
    1,761.40x = 2,468,822.04
  5. Step 5: Solve for x
    x = 2,468,822.04/1,761.40
  6. Step 6: Final answer
    x = 1,401.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.