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Finding the Fourth Proportional to 2,945.04, 4,061.84 and 1,897.20

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Solution

The fourth proportional to 2,945.04, 4,061.84 and 1,897.20 is: 2,616.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.04 : 4,061.84 = 1,897.20 : x
  2. Step 2: Convert to fraction form
    2,945.04/4,061.84 = 1,897.20/x
  3. Step 3: Cross multiply
    2,945.04x = 4,061.84 × 1,897.20
  4. Step 4: Simplify right side
    2,945.04x = 7,706,122.85
  5. Step 5: Solve for x
    x = 7,706,122.85/2,945.04
  6. Step 6: Final answer
    x = 2,616.64

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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.