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Finding the Fourth Proportional to 2,747.32, 4,121.50 and 897.93

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Solution

The fourth proportional to 2,747.32, 4,121.50 and 897.93 is: 1,347.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.32 : 4,121.50 = 897.93 : x
  2. Step 2: Convert to fraction form
    2,747.32/4,121.50 = 897.93/x
  3. Step 3: Cross multiply
    2,747.32x = 4,121.50 × 897.93
  4. Step 4: Simplify right side
    2,747.32x = 3,700,818.50
  5. Step 5: Solve for x
    x = 3,700,818.50/2,747.32
  6. Step 6: Final answer
    x = 1,347.06

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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.