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Finding the Fourth Proportional to 2,928.50, 4,392.26 and 980.70

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Solution

The fourth proportional to 2,928.50, 4,392.26 and 980.70 is: 1,470.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928.50 : 4,392.26 = 980.70 : x
  2. Step 2: Convert to fraction form
    2,928.50/4,392.26 = 980.70/x
  3. Step 3: Cross multiply
    2,928.50x = 4,392.26 × 980.70
  4. Step 4: Simplify right side
    2,928.50x = 4,307,484.48
  5. Step 5: Solve for x
    x = 4,307,484.48/2,928.50
  6. Step 6: Final answer
    x = 1,470.89

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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.