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Finding the Fourth Proportional to 1,802.64, 2,702.97 and 1,109.57

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Solution

The fourth proportional to 1,802.64, 2,702.97 and 1,109.57 is: 1,663.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.64 : 2,702.97 = 1,109.57 : x
  2. Step 2: Convert to fraction form
    1,802.64/2,702.97 = 1,109.57/x
  3. Step 3: Cross multiply
    1,802.64x = 2,702.97 × 1,109.57
  4. Step 4: Simplify right side
    1,802.64x = 2,999,120.91
  5. Step 5: Solve for x
    x = 2,999,120.91/1,802.64
  6. Step 6: Final answer
    x = 1,663.74

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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.