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Finding the Fourth Proportional to 3,247.76, 4,871.64 and 907.76

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Solution

The fourth proportional to 3,247.76, 4,871.64 and 907.76 is: 1,361.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.76 : 4,871.64 = 907.76 : x
  2. Step 2: Convert to fraction form
    3,247.76/4,871.64 = 907.76/x
  3. Step 3: Cross multiply
    3,247.76x = 4,871.64 × 907.76
  4. Step 4: Simplify right side
    3,247.76x = 4,422,279.93
  5. Step 5: Solve for x
    x = 4,422,279.93/3,247.76
  6. Step 6: Final answer
    x = 1,361.64

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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.