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Finding the Fourth Proportional to 2,490.55, 3,733.73 and 929.68

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Solution

The fourth proportional to 2,490.55, 3,733.73 and 929.68 is: 1,393.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.55 : 3,733.73 = 929.68 : x
  2. Step 2: Convert to fraction form
    2,490.55/3,733.73 = 929.68/x
  3. Step 3: Cross multiply
    2,490.55x = 3,733.73 × 929.68
  4. Step 4: Simplify right side
    2,490.55x = 3,471,163.61
  5. Step 5: Solve for x
    x = 3,471,163.61/2,490.55
  6. Step 6: Final answer
    x = 1,393.74

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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.