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Finding the Fourth Proportional to 2,602.65, 3,903.90 and 1,042.17

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Solution

The fourth proportional to 2,602.65, 3,903.90 and 1,042.17 is: 1,563.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.65 : 3,903.90 = 1,042.17 : x
  2. Step 2: Convert to fraction form
    2,602.65/3,903.90 = 1,042.17/x
  3. Step 3: Cross multiply
    2,602.65x = 3,903.90 × 1,042.17
  4. Step 4: Simplify right side
    2,602.65x = 4,068,527.46
  5. Step 5: Solve for x
    x = 4,068,527.46/2,602.65
  6. Step 6: Final answer
    x = 1,563.22

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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.