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Finding the Fourth Proportional to 6,877, 9,481.40 and 5,616.72

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Solution

The fourth proportional to 6,877, 9,481.40 and 5,616.72 is: 7,743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877 : 9,481.40 = 5,616.72 : x
  2. Step 2: Convert to fraction form
    6,877/9,481.40 = 5,616.72/x
  3. Step 3: Cross multiply
    6,877x = 9,481.40 × 5,616.72
  4. Step 4: Simplify right side
    6,877x = 53,254,369.01
  5. Step 5: Solve for x
    x = 53,254,369.01/6,877
  6. Step 6: Final answer
    x = 7,743.84

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1.5x scale

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.