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Finding the Fourth Proportional to 2,083.53, 3,125.69 and 913.53

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Solution

The fourth proportional to 2,083.53, 3,125.69 and 913.53 is: 1,370.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.53 : 3,125.69 = 913.53 : x
  2. Step 2: Convert to fraction form
    2,083.53/3,125.69 = 913.53/x
  3. Step 3: Cross multiply
    2,083.53x = 3,125.69 × 913.53
  4. Step 4: Simplify right side
    2,083.53x = 2,855,407.02
  5. Step 5: Solve for x
    x = 2,855,407.02/2,083.53
  6. Step 6: Final answer
    x = 1,370.47

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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.