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Finding the Fourth Proportional to 2,470.65, 3,704.71 and 910.11

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Solution

The fourth proportional to 2,470.65, 3,704.71 and 910.11 is: 1,364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.65 : 3,704.71 = 910.11 : x
  2. Step 2: Convert to fraction form
    2,470.65/3,704.71 = 910.11/x
  3. Step 3: Cross multiply
    2,470.65x = 3,704.71 × 910.11
  4. Step 4: Simplify right side
    2,470.65x = 3,371,693.62
  5. Step 5: Solve for x
    x = 3,371,693.62/2,470.65
  6. Step 6: Final answer
    x = 1,364.70

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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.