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Finding the Fourth Proportional to 2,470.40, 3,700.93 and 1,919.90

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Solution

The fourth proportional to 2,470.40, 3,700.93 and 1,919.90 is: 2,876.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.40 : 3,700.93 = 1,919.90 : x
  2. Step 2: Convert to fraction form
    2,470.40/3,700.93 = 1,919.90/x
  3. Step 3: Cross multiply
    2,470.40x = 3,700.93 × 1,919.90
  4. Step 4: Simplify right side
    2,470.40x = 7,105,397.00
  5. Step 5: Solve for x
    x = 7,105,397.00/2,470.40
  6. Step 6: Final answer
    x = 2,876.22

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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.