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Finding the Fourth Proportional to 2,902.20, 4,351.88 and 953.76

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Solution

The fourth proportional to 2,902.20, 4,351.88 and 953.76 is: 1,430.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.20 : 4,351.88 = 953.76 : x
  2. Step 2: Convert to fraction form
    2,902.20/4,351.88 = 953.76/x
  3. Step 3: Cross multiply
    2,902.20x = 4,351.88 × 953.76
  4. Step 4: Simplify right side
    2,902.20x = 4,150,649.07
  5. Step 5: Solve for x
    x = 4,150,649.07/2,902.20
  6. Step 6: Final answer
    x = 1,430.17

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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.