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Finding the Fourth Proportional to 2,470.65, 3,410.15 and 1,949.01

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Solution

The fourth proportional to 2,470.65, 3,410.15 and 1,949.01 is: 2,690.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.65 : 3,410.15 = 1,949.01 : x
  2. Step 2: Convert to fraction form
    2,470.65/3,410.15 = 1,949.01/x
  3. Step 3: Cross multiply
    2,470.65x = 3,410.15 × 1,949.01
  4. Step 4: Simplify right side
    2,470.65x = 6,646,406.71
  5. Step 5: Solve for x
    x = 6,646,406.71/2,470.65
  6. Step 6: Final answer
    x = 2,690.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.