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Finding the Fourth Proportional to 2,460.80, 3,691.30 and 817.50

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Solution

The fourth proportional to 2,460.80, 3,691.30 and 817.50 is: 1,226.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.80 : 3,691.30 = 817.50 : x
  2. Step 2: Convert to fraction form
    2,460.80/3,691.30 = 817.50/x
  3. Step 3: Cross multiply
    2,460.80x = 3,691.30 × 817.50
  4. Step 4: Simplify right side
    2,460.80x = 3,017,637.75
  5. Step 5: Solve for x
    x = 3,017,637.75/2,460.80
  6. Step 6: Final answer
    x = 1,226.28

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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.