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Finding the Fourth Proportional to 7,882.50, 10,877.38 and 4,699.38

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Solution

The fourth proportional to 7,882.50, 10,877.38 and 4,699.38 is: 6,484.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.50 : 10,877.38 = 4,699.38 : x
  2. Step 2: Convert to fraction form
    7,882.50/10,877.38 = 4,699.38/x
  3. Step 3: Cross multiply
    7,882.50x = 10,877.38 × 4,699.38
  4. Step 4: Simplify right side
    7,882.50x = 51,116,942.02
  5. Step 5: Solve for x
    x = 51,116,942.02/7,882.50
  6. Step 6: Final answer
    x = 6,484.86

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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.