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Finding the Fourth Proportional to 2,315.07, 3,472.92 and 928.55

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Solution

The fourth proportional to 2,315.07, 3,472.92 and 928.55 is: 1,392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.07 : 3,472.92 = 928.55 : x
  2. Step 2: Convert to fraction form
    2,315.07/3,472.92 = 928.55/x
  3. Step 3: Cross multiply
    2,315.07x = 3,472.92 × 928.55
  4. Step 4: Simplify right side
    2,315.07x = 3,224,788.55
  5. Step 5: Solve for x
    x = 3,224,788.55/2,315.07
  6. Step 6: Final answer
    x = 1,392.96

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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.