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Finding the Fourth Proportional to 2,602.50, 3,902.47 and 1,140.74

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Solution

The fourth proportional to 2,602.50, 3,902.47 and 1,140.74 is: 1,710.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.50 : 3,902.47 = 1,140.74 : x
  2. Step 2: Convert to fraction form
    2,602.50/3,902.47 = 1,140.74/x
  3. Step 3: Cross multiply
    2,602.50x = 3,902.47 × 1,140.74
  4. Step 4: Simplify right side
    2,602.50x = 4,451,703.63
  5. Step 5: Solve for x
    x = 4,451,703.63/2,602.50
  6. Step 6: Final answer
    x = 1,710.55

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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.