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Finding the Fourth Proportional to 7,861.79, 10,849.25 and 4,717.98

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Solution

The fourth proportional to 7,861.79, 10,849.25 and 4,717.98 is: 6,510.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.79 : 10,849.25 = 4,717.98 : x
  2. Step 2: Convert to fraction form
    7,861.79/10,849.25 = 4,717.98/x
  3. Step 3: Cross multiply
    7,861.79x = 10,849.25 × 4,717.98
  4. Step 4: Simplify right side
    7,861.79x = 51,186,556.31
  5. Step 5: Solve for x
    x = 51,186,556.31/7,861.79
  6. Step 6: Final answer
    x = 6,510.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.