Home / 1,612.80-2,417.81-962.18

Finding the Fourth Proportional to 1,612.80, 2,417.81 and 962.18

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Solution

The fourth proportional to 1,612.80, 2,417.81 and 962.18 is: 1,442.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.80 : 2,417.81 = 962.18 : x
  2. Step 2: Convert to fraction form
    1,612.80/2,417.81 = 962.18/x
  3. Step 3: Cross multiply
    1,612.80x = 2,417.81 × 962.18
  4. Step 4: Simplify right side
    1,612.80x = 2,326,351.53
  5. Step 5: Solve for x
    x = 2,326,351.53/1,612.80
  6. Step 6: Final answer
    x = 1,442.43

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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.