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Finding the Fourth Proportional to 5,263, 7,898.78 and 2,666.68

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Solution

The fourth proportional to 5,263, 7,898.78 and 2,666.68 is: 4,002.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263 : 7,898.78 = 2,666.68 : x
  2. Step 2: Convert to fraction form
    5,263/7,898.78 = 2,666.68/x
  3. Step 3: Cross multiply
    5,263x = 7,898.78 × 2,666.68
  4. Step 4: Simplify right side
    5,263x = 21,063,518.65
  5. Step 5: Solve for x
    x = 21,063,518.65/5,263
  6. Step 6: Final answer
    x = 4,002.19

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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.