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Finding the Fourth Proportional to 1,842.01, 2,542 and 1,133.57

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Solution

The fourth proportional to 1,842.01, 2,542 and 1,133.57 is: 1,564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.01 : 2,542 = 1,133.57 : x
  2. Step 2: Convert to fraction form
    1,842.01/2,542 = 1,133.57/x
  3. Step 3: Cross multiply
    1,842.01x = 2,542 × 1,133.57
  4. Step 4: Simplify right side
    1,842.01x = 2,881,534.94
  5. Step 5: Solve for x
    x = 2,881,534.94/1,842.01
  6. Step 6: Final answer
    x = 1,564.34

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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.