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Finding the Fourth Proportional to 1,125.40, 1,684.90 and 1,093.40

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Solution

The fourth proportional to 1,125.40, 1,684.90 and 1,093.40 is: 1,636.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.40 : 1,684.90 = 1,093.40 : x
  2. Step 2: Convert to fraction form
    1,125.40/1,684.90 = 1,093.40/x
  3. Step 3: Cross multiply
    1,125.40x = 1,684.90 × 1,093.40
  4. Step 4: Simplify right side
    1,125.40x = 1,842,269.66
  5. Step 5: Solve for x
    x = 1,842,269.66/1,125.40
  6. Step 6: Final answer
    x = 1,636.99

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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.