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Finding the Fourth Proportional to 1,945.53, 2,918.30 and 713.04

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Solution

The fourth proportional to 1,945.53, 2,918.30 and 713.04 is: 1,069.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.53 : 2,918.30 = 713.04 : x
  2. Step 2: Convert to fraction form
    1,945.53/2,918.30 = 713.04/x
  3. Step 3: Cross multiply
    1,945.53x = 2,918.30 × 713.04
  4. Step 4: Simplify right side
    1,945.53x = 2,080,862.43
  5. Step 5: Solve for x
    x = 2,080,862.43/1,945.53
  6. Step 6: Final answer
    x = 1,069.56

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1.5x scale

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.