Home / 1,227.30-1,692.51-947.09

Finding the Fourth Proportional to 1,227.30, 1,692.51 and 947.09

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Solution

The fourth proportional to 1,227.30, 1,692.51 and 947.09 is: 1,306.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.30 : 1,692.51 = 947.09 : x
  2. Step 2: Convert to fraction form
    1,227.30/1,692.51 = 947.09/x
  3. Step 3: Cross multiply
    1,227.30x = 1,692.51 × 947.09
  4. Step 4: Simplify right side
    1,227.30x = 1,602,950.83
  5. Step 5: Solve for x
    x = 1,602,950.83/1,227.30
  6. Step 6: Final answer
    x = 1,306.08

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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.