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Finding the Fourth Proportional to 2,490.71, 3,434.06 and 2,095.43

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Solution

The fourth proportional to 2,490.71, 3,434.06 and 2,095.43 is: 2,889.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.71 : 3,434.06 = 2,095.43 : x
  2. Step 2: Convert to fraction form
    2,490.71/3,434.06 = 2,095.43/x
  3. Step 3: Cross multiply
    2,490.71x = 3,434.06 × 2,095.43
  4. Step 4: Simplify right side
    2,490.71x = 7,195,820.41
  5. Step 5: Solve for x
    x = 7,195,820.41/2,490.71
  6. Step 6: Final answer
    x = 2,889.07

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1.5x scale

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.