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Finding the Fourth Proportional to 2,876.50, 4,313.94 and 928.45

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Solution

The fourth proportional to 2,876.50, 4,313.94 and 928.45 is: 1,392.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.50 : 4,313.94 = 928.45 : x
  2. Step 2: Convert to fraction form
    2,876.50/4,313.94 = 928.45/x
  3. Step 3: Cross multiply
    2,876.50x = 4,313.94 × 928.45
  4. Step 4: Simplify right side
    2,876.50x = 4,005,277.59
  5. Step 5: Solve for x
    x = 4,005,277.59/2,876.50
  6. Step 6: Final answer
    x = 1,392.41

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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.