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Finding the Fourth Proportional to 2,313.65, 3,470.70 and 852.61

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Solution

The fourth proportional to 2,313.65, 3,470.70 and 852.61 is: 1,279.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.65 : 3,470.70 = 852.61 : x
  2. Step 2: Convert to fraction form
    2,313.65/3,470.70 = 852.61/x
  3. Step 3: Cross multiply
    2,313.65x = 3,470.70 × 852.61
  4. Step 4: Simplify right side
    2,313.65x = 2,959,149.76
  5. Step 5: Solve for x
    x = 2,959,149.76/2,313.65
  6. Step 6: Final answer
    x = 1,279.00

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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.