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Finding the Fourth Proportional to 1,928.76, 2,658.18 and 1,403.88

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Solution

The fourth proportional to 1,928.76, 2,658.18 and 1,403.88 is: 1,934.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.76 : 2,658.18 = 1,403.88 : x
  2. Step 2: Convert to fraction form
    1,928.76/2,658.18 = 1,403.88/x
  3. Step 3: Cross multiply
    1,928.76x = 2,658.18 × 1,403.88
  4. Step 4: Simplify right side
    1,928.76x = 3,731,765.74
  5. Step 5: Solve for x
    x = 3,731,765.74/1,928.76
  6. Step 6: Final answer
    x = 1,934.80

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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.