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Finding the Fourth Proportional to 2,414.40, 3,616.80 and 1,316.80

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Solution

The fourth proportional to 2,414.40, 3,616.80 and 1,316.80 is: 1,972.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.40 : 3,616.80 = 1,316.80 : x
  2. Step 2: Convert to fraction form
    2,414.40/3,616.80 = 1,316.80/x
  3. Step 3: Cross multiply
    2,414.40x = 3,616.80 × 1,316.80
  4. Step 4: Simplify right side
    2,414.40x = 4,762,602.24
  5. Step 5: Solve for x
    x = 4,762,602.24/2,414.40
  6. Step 6: Final answer
    x = 1,972.58

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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.