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Finding the Fourth Proportional to 2,945.14, 4,417.85 and 753.88

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Solution

The fourth proportional to 2,945.14, 4,417.85 and 753.88 is: 1,130.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.14 : 4,417.85 = 753.88 : x
  2. Step 2: Convert to fraction form
    2,945.14/4,417.85 = 753.88/x
  3. Step 3: Cross multiply
    2,945.14x = 4,417.85 × 753.88
  4. Step 4: Simplify right side
    2,945.14x = 3,330,528.76
  5. Step 5: Solve for x
    x = 3,330,528.76/2,945.14
  6. Step 6: Final answer
    x = 1,130.86

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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.