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Finding the Fourth Proportional to 1,838.47, 2,740.18 and 1,734.69

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Solution

The fourth proportional to 1,838.47, 2,740.18 and 1,734.69 is: 2,585.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.47 : 2,740.18 = 1,734.69 : x
  2. Step 2: Convert to fraction form
    1,838.47/2,740.18 = 1,734.69/x
  3. Step 3: Cross multiply
    1,838.47x = 2,740.18 × 1,734.69
  4. Step 4: Simplify right side
    1,838.47x = 4,753,362.84
  5. Step 5: Solve for x
    x = 4,753,362.84/1,838.47
  6. Step 6: Final answer
    x = 2,585.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.