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Finding the Fourth Proportional to 2,651.89, 3,657.42 and 1,655.43

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Solution

The fourth proportional to 2,651.89, 3,657.42 and 1,655.43 is: 2,283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.89 : 3,657.42 = 1,655.43 : x
  2. Step 2: Convert to fraction form
    2,651.89/3,657.42 = 1,655.43/x
  3. Step 3: Cross multiply
    2,651.89x = 3,657.42 × 1,655.43
  4. Step 4: Simplify right side
    2,651.89x = 6,054,602.79
  5. Step 5: Solve for x
    x = 6,054,602.79/2,651.89
  6. Step 6: Final answer
    x = 2,283.13

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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.