Home / 1,309.06-1,964.67-921.88

Finding the Fourth Proportional to 1,309.06, 1,964.67 and 921.88

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Solution

The fourth proportional to 1,309.06, 1,964.67 and 921.88 is: 1,383.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.06 : 1,964.67 = 921.88 : x
  2. Step 2: Convert to fraction form
    1,309.06/1,964.67 = 921.88/x
  3. Step 3: Cross multiply
    1,309.06x = 1,964.67 × 921.88
  4. Step 4: Simplify right side
    1,309.06x = 1,811,189.98
  5. Step 5: Solve for x
    x = 1,811,189.98/1,309.06
  6. Step 6: Final answer
    x = 1,383.58

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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.