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Finding the Fourth Proportional to 1,854.31, 2,558.75 and 1,108

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Solution

The fourth proportional to 1,854.31, 2,558.75 and 1,108 is: 1,528.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.31 : 2,558.75 = 1,108 : x
  2. Step 2: Convert to fraction form
    1,854.31/2,558.75 = 1,108/x
  3. Step 3: Cross multiply
    1,854.31x = 2,558.75 × 1,108
  4. Step 4: Simplify right side
    1,854.31x = 2,835,095
  5. Step 5: Solve for x
    x = 2,835,095/1,854.31
  6. Step 6: Final answer
    x = 1,528.92

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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.