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Finding the Fourth Proportional to 3,617.78, 4,994.92 and 2,424.30

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Solution

The fourth proportional to 3,617.78, 4,994.92 and 2,424.30 is: 3,347.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.78 : 4,994.92 = 2,424.30 : x
  2. Step 2: Convert to fraction form
    3,617.78/4,994.92 = 2,424.30/x
  3. Step 3: Cross multiply
    3,617.78x = 4,994.92 × 2,424.30
  4. Step 4: Simplify right side
    3,617.78x = 12,109,184.56
  5. Step 5: Solve for x
    x = 12,109,184.56/3,617.78
  6. Step 6: Final answer
    x = 3,347.13

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1.5x scale

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.