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Finding the Fourth Proportional to 1,980.25, 2,970.42 and 747.38

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Solution

The fourth proportional to 1,980.25, 2,970.42 and 747.38 is: 1,121.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.25 : 2,970.42 = 747.38 : x
  2. Step 2: Convert to fraction form
    1,980.25/2,970.42 = 747.38/x
  3. Step 3: Cross multiply
    1,980.25x = 2,970.42 × 747.38
  4. Step 4: Simplify right side
    1,980.25x = 2,220,024.62
  5. Step 5: Solve for x
    x = 2,220,024.62/1,980.25
  6. Step 6: Final answer
    x = 1,121.08

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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.