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Finding the Fourth Proportional to 1,750, 2,415.14 and 1,227.28

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Solution

The fourth proportional to 1,750, 2,415.14 and 1,227.28 is: 1,693.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750 : 2,415.14 = 1,227.28 : x
  2. Step 2: Convert to fraction form
    1,750/2,415.14 = 1,227.28/x
  3. Step 3: Cross multiply
    1,750x = 2,415.14 × 1,227.28
  4. Step 4: Simplify right side
    1,750x = 2,964,053.02
  5. Step 5: Solve for x
    x = 2,964,053.02/1,750
  6. Step 6: Final answer
    x = 1,693.74

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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.