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Finding the Fourth Proportional to 1,970, 2,949.78 and 1,578.16

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Solution

The fourth proportional to 1,970, 2,949.78 and 1,578.16 is: 2,363.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970 : 2,949.78 = 1,578.16 : x
  2. Step 2: Convert to fraction form
    1,970/2,949.78 = 1,578.16/x
  3. Step 3: Cross multiply
    1,970x = 2,949.78 × 1,578.16
  4. Step 4: Simplify right side
    1,970x = 4,655,224.80
  5. Step 5: Solve for x
    x = 4,655,224.80/1,970
  6. Step 6: Final answer
    x = 2,363.06

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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.