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Finding the Fourth Proportional to 3,543.36, 5,315.04 and 946.29

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Solution

The fourth proportional to 3,543.36, 5,315.04 and 946.29 is: 1,419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.36 : 5,315.04 = 946.29 : x
  2. Step 2: Convert to fraction form
    3,543.36/5,315.04 = 946.29/x
  3. Step 3: Cross multiply
    3,543.36x = 5,315.04 × 946.29
  4. Step 4: Simplify right side
    3,543.36x = 5,029,569.20
  5. Step 5: Solve for x
    x = 5,029,569.20/3,543.36
  6. Step 6: Final answer
    x = 1,419.44

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Similar ratio
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1.5x scale

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.