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Finding the Fourth Proportional to 1,417.15, 1,954.02 and 1,227.70

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Solution

The fourth proportional to 1,417.15, 1,954.02 and 1,227.70 is: 1,692.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.15 : 1,954.02 = 1,227.70 : x
  2. Step 2: Convert to fraction form
    1,417.15/1,954.02 = 1,227.70/x
  3. Step 3: Cross multiply
    1,417.15x = 1,954.02 × 1,227.70
  4. Step 4: Simplify right side
    1,417.15x = 2,398,950.35
  5. Step 5: Solve for x
    x = 2,398,950.35/1,417.15
  6. Step 6: Final answer
    x = 1,692.80

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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.