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Finding the Fourth Proportional to 7,882.98, 11,810.55 and 7,024.92

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Solution

The fourth proportional to 7,882.98, 11,810.55 and 7,024.92 is: 10,524.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.98 : 11,810.55 = 7,024.92 : x
  2. Step 2: Convert to fraction form
    7,882.98/11,810.55 = 7,024.92/x
  3. Step 3: Cross multiply
    7,882.98x = 11,810.55 × 7,024.92
  4. Step 4: Simplify right side
    7,882.98x = 82,968,168.91
  5. Step 5: Solve for x
    x = 82,968,168.91/7,882.98
  6. Step 6: Final answer
    x = 10,524.98

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1.5x scale

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.