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Finding the Fourth Proportional to 1,723.47, 2,378.40 and 937.52

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Solution

The fourth proportional to 1,723.47, 2,378.40 and 937.52 is: 1,293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.47 : 2,378.40 = 937.52 : x
  2. Step 2: Convert to fraction form
    1,723.47/2,378.40 = 937.52/x
  3. Step 3: Cross multiply
    1,723.47x = 2,378.40 × 937.52
  4. Step 4: Simplify right side
    1,723.47x = 2,229,792.88
  5. Step 5: Solve for x
    x = 2,229,792.88/1,723.47
  6. Step 6: Final answer
    x = 1,293.78

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1.5x scale

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.