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Finding the Fourth Proportional to 1,310.40, 1,807.20 and 1,103.04

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Solution

The fourth proportional to 1,310.40, 1,807.20 and 1,103.04 is: 1,521.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.40 : 1,807.20 = 1,103.04 : x
  2. Step 2: Convert to fraction form
    1,310.40/1,807.20 = 1,103.04/x
  3. Step 3: Cross multiply
    1,310.40x = 1,807.20 × 1,103.04
  4. Step 4: Simplify right side
    1,310.40x = 1,993,413.89
  5. Step 5: Solve for x
    x = 1,993,413.89/1,310.40
  6. Step 6: Final answer
    x = 1,521.23

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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.