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Finding the Fourth Proportional to 7,870.92, 11,801.29 and 4,174.89

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Solution

The fourth proportional to 7,870.92, 11,801.29 and 4,174.89 is: 6,259.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.92 : 11,801.29 = 4,174.89 : x
  2. Step 2: Convert to fraction form
    7,870.92/11,801.29 = 4,174.89/x
  3. Step 3: Cross multiply
    7,870.92x = 11,801.29 × 4,174.89
  4. Step 4: Simplify right side
    7,870.92x = 49,269,087.61
  5. Step 5: Solve for x
    x = 49,269,087.61/7,870.92
  6. Step 6: Final answer
    x = 6,259.64

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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.