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Finding the Fourth Proportional to 3,543.49, 5,315.30 and 946.41

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Solution

The fourth proportional to 3,543.49, 5,315.30 and 946.41 is: 1,419.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.49 : 5,315.30 = 946.41 : x
  2. Step 2: Convert to fraction form
    3,543.49/5,315.30 = 946.41/x
  3. Step 3: Cross multiply
    3,543.49x = 5,315.30 × 946.41
  4. Step 4: Simplify right side
    3,543.49x = 5,030,437.28
  5. Step 5: Solve for x
    x = 5,030,437.28/3,543.49
  6. Step 6: Final answer
    x = 1,419.63

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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.