Home / 1,946.56-2,918.10-713.68

Finding the Fourth Proportional to 1,946.56, 2,918.10 and 713.68

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Solution

The fourth proportional to 1,946.56, 2,918.10 and 713.68 is: 1,069.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.56 : 2,918.10 = 713.68 : x
  2. Step 2: Convert to fraction form
    1,946.56/2,918.10 = 713.68/x
  3. Step 3: Cross multiply
    1,946.56x = 2,918.10 × 713.68
  4. Step 4: Simplify right side
    1,946.56x = 2,082,587.63
  5. Step 5: Solve for x
    x = 2,082,587.63/1,946.56
  6. Step 6: Final answer
    x = 1,069.88

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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.