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Finding the Fourth Proportional to 7,876.98, 11,801.57 and 7,018.92

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Solution

The fourth proportional to 7,876.98, 11,801.57 and 7,018.92 is: 10,515.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.98 : 11,801.57 = 7,018.92 : x
  2. Step 2: Convert to fraction form
    7,876.98/11,801.57 = 7,018.92/x
  3. Step 3: Cross multiply
    7,876.98x = 11,801.57 × 7,018.92
  4. Step 4: Simplify right side
    7,876.98x = 82,834,240.61
  5. Step 5: Solve for x
    x = 82,834,240.61/7,876.98
  6. Step 6: Final answer
    x = 10,515.99

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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.