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Finding the Fourth Proportional to 1,943.66, 2,914 and 970.44

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Solution

The fourth proportional to 1,943.66, 2,914 and 970.44 is: 1,454.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.66 : 2,914 = 970.44 : x
  2. Step 2: Convert to fraction form
    1,943.66/2,914 = 970.44/x
  3. Step 3: Cross multiply
    1,943.66x = 2,914 × 970.44
  4. Step 4: Simplify right side
    1,943.66x = 2,827,862.16
  5. Step 5: Solve for x
    x = 2,827,862.16/1,943.66
  6. Step 6: Final answer
    x = 1,454.92

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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.