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Finding the Fourth Proportional to 1,948.70, 2,689.28 and 1,109.48

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Solution

The fourth proportional to 1,948.70, 2,689.28 and 1,109.48 is: 1,531.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.70 : 2,689.28 = 1,109.48 : x
  2. Step 2: Convert to fraction form
    1,948.70/2,689.28 = 1,109.48/x
  3. Step 3: Cross multiply
    1,948.70x = 2,689.28 × 1,109.48
  4. Step 4: Simplify right side
    1,948.70x = 2,983,683.38
  5. Step 5: Solve for x
    x = 2,983,683.38/1,948.70
  6. Step 6: Final answer
    x = 1,531.12

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1.5x scale

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.