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Finding the Fourth Proportional to 2,657, 3,665.40 and 1,871.48

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Solution

The fourth proportional to 2,657, 3,665.40 and 1,871.48 is: 2,581.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657 : 3,665.40 = 1,871.48 : x
  2. Step 2: Convert to fraction form
    2,657/3,665.40 = 1,871.48/x
  3. Step 3: Cross multiply
    2,657x = 3,665.40 × 1,871.48
  4. Step 4: Simplify right side
    2,657x = 6,859,722.79
  5. Step 5: Solve for x
    x = 6,859,722.79/2,657
  6. Step 6: Final answer
    x = 2,581.75

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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.