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Finding the Fourth Proportional to 7,834.12, 11,751.18 and 2,897.98

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Solution

The fourth proportional to 7,834.12, 11,751.18 and 2,897.98 is: 4,346.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.12 : 11,751.18 = 2,897.98 : x
  2. Step 2: Convert to fraction form
    7,834.12/11,751.18 = 2,897.98/x
  3. Step 3: Cross multiply
    7,834.12x = 11,751.18 × 2,897.98
  4. Step 4: Simplify right side
    7,834.12x = 34,054,644.37
  5. Step 5: Solve for x
    x = 34,054,644.37/7,834.12
  6. Step 6: Final answer
    x = 4,346.97

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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.