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Finding the Fourth Proportional to 7,898.70, 11,840.73 and 2,971.61

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Solution

The fourth proportional to 7,898.70, 11,840.73 and 2,971.61 is: 4,454.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.70 : 11,840.73 = 2,971.61 : x
  2. Step 2: Convert to fraction form
    7,898.70/11,840.73 = 2,971.61/x
  3. Step 3: Cross multiply
    7,898.70x = 11,840.73 × 2,971.61
  4. Step 4: Simplify right side
    7,898.70x = 35,186,031.68
  5. Step 5: Solve for x
    x = 35,186,031.68/7,898.70
  6. Step 6: Final answer
    x = 4,454.66

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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.