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Finding the Fourth Proportional to 3,114.29, 4,670.48 and 892.95

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Solution

The fourth proportional to 3,114.29, 4,670.48 and 892.95 is: 1,339.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.29 : 4,670.48 = 892.95 : x
  2. Step 2: Convert to fraction form
    3,114.29/4,670.48 = 892.95/x
  3. Step 3: Cross multiply
    3,114.29x = 4,670.48 × 892.95
  4. Step 4: Simplify right side
    3,114.29x = 4,170,500.65
  5. Step 5: Solve for x
    x = 4,170,500.65/3,114.29
  6. Step 6: Final answer
    x = 1,339.15

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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.