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Finding the Fourth Proportional to 2,445, 3,374.65 and 1,737.87

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Solution

The fourth proportional to 2,445, 3,374.65 and 1,737.87 is: 2,398.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445 : 3,374.65 = 1,737.87 : x
  2. Step 2: Convert to fraction form
    2,445/3,374.65 = 1,737.87/x
  3. Step 3: Cross multiply
    2,445x = 3,374.65 × 1,737.87
  4. Step 4: Simplify right side
    2,445x = 5,864,703.00
  5. Step 5: Solve for x
    x = 5,864,703.00/2,445
  6. Step 6: Final answer
    x = 2,398.65

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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.