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Finding the Fourth Proportional to 1,888.92, 2,605.86 and 1,102.50

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Solution

The fourth proportional to 1,888.92, 2,605.86 and 1,102.50 is: 1,520.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.92 : 2,605.86 = 1,102.50 : x
  2. Step 2: Convert to fraction form
    1,888.92/2,605.86 = 1,102.50/x
  3. Step 3: Cross multiply
    1,888.92x = 2,605.86 × 1,102.50
  4. Step 4: Simplify right side
    1,888.92x = 2,872,960.65
  5. Step 5: Solve for x
    x = 2,872,960.65/1,888.92
  6. Step 6: Final answer
    x = 1,520.95

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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.