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Finding the Fourth Proportional to 2,602.97, 3,592.19 and 1,424.15

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Solution

The fourth proportional to 2,602.97, 3,592.19 and 1,424.15 is: 1,965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.97 : 3,592.19 = 1,424.15 : x
  2. Step 2: Convert to fraction form
    2,602.97/3,592.19 = 1,424.15/x
  3. Step 3: Cross multiply
    2,602.97x = 3,592.19 × 1,424.15
  4. Step 4: Simplify right side
    2,602.97x = 5,115,829.93
  5. Step 5: Solve for x
    x = 5,115,829.93/2,602.97
  6. Step 6: Final answer
    x = 1,965.38

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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.