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Finding the Fourth Proportional to 7,885.98, 11,815.05 and 7,027.92

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Solution

The fourth proportional to 7,885.98, 11,815.05 and 7,027.92 is: 10,529.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.98 : 11,815.05 = 7,027.92 : x
  2. Step 2: Convert to fraction form
    7,885.98/11,815.05 = 7,027.92/x
  3. Step 3: Cross multiply
    7,885.98x = 11,815.05 × 7,027.92
  4. Step 4: Simplify right side
    7,885.98x = 83,035,226.20
  5. Step 5: Solve for x
    x = 83,035,226.20/7,885.98
  6. Step 6: Final answer
    x = 10,529.47

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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.