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Finding the Fourth Proportional to 2,602.98, 3,592.62 and 1,540.98

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Solution

The fourth proportional to 2,602.98, 3,592.62 and 1,540.98 is: 2,126.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.98 : 3,592.62 = 1,540.98 : x
  2. Step 2: Convert to fraction form
    2,602.98/3,592.62 = 1,540.98/x
  3. Step 3: Cross multiply
    2,602.98x = 3,592.62 × 1,540.98
  4. Step 4: Simplify right side
    2,602.98x = 5,536,155.57
  5. Step 5: Solve for x
    x = 5,536,155.57/2,602.98
  6. Step 6: Final answer
    x = 2,126.85

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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.