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Finding the Fourth Proportional to 2,479.95, 3,717.50 and 919.53

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Solution

The fourth proportional to 2,479.95, 3,717.50 and 919.53 is: 1,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.95 : 3,717.50 = 919.53 : x
  2. Step 2: Convert to fraction form
    2,479.95/3,717.50 = 919.53/x
  3. Step 3: Cross multiply
    2,479.95x = 3,717.50 × 919.53
  4. Step 4: Simplify right side
    2,479.95x = 3,418,348.18
  5. Step 5: Solve for x
    x = 3,418,348.18/2,479.95
  6. Step 6: Final answer
    x = 1,378.39

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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.