Home / 1,227.38-1,692.63-947.18

Finding the Fourth Proportional to 1,227.38, 1,692.63 and 947.18

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Solution

The fourth proportional to 1,227.38, 1,692.63 and 947.18 is: 1,306.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.38 : 1,692.63 = 947.18 : x
  2. Step 2: Convert to fraction form
    1,227.38/1,692.63 = 947.18/x
  3. Step 3: Cross multiply
    1,227.38x = 1,692.63 × 947.18
  4. Step 4: Simplify right side
    1,227.38x = 1,603,225.28
  5. Step 5: Solve for x
    x = 1,603,225.28/1,227.38
  6. Step 6: Final answer
    x = 1,306.22

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1.5x scale

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.