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Finding the Fourth Proportional to 2,777.61, 4,165.50 and 928.23

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Solution

The fourth proportional to 2,777.61, 4,165.50 and 928.23 is: 1,392.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.61 : 4,165.50 = 928.23 : x
  2. Step 2: Convert to fraction form
    2,777.61/4,165.50 = 928.23/x
  3. Step 3: Cross multiply
    2,777.61x = 4,165.50 × 928.23
  4. Step 4: Simplify right side
    2,777.61x = 3,866,542.07
  5. Step 5: Solve for x
    x = 3,866,542.07/2,777.61
  6. Step 6: Final answer
    x = 1,392.04

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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.