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Finding the Fourth Proportional to 7,762.38, 11,639.79 and 2,566.50

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Solution

The fourth proportional to 7,762.38, 11,639.79 and 2,566.50 is: 3,848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.38 : 11,639.79 = 2,566.50 : x
  2. Step 2: Convert to fraction form
    7,762.38/11,639.79 = 2,566.50/x
  3. Step 3: Cross multiply
    7,762.38x = 11,639.79 × 2,566.50
  4. Step 4: Simplify right side
    7,762.38x = 29,873,521.04
  5. Step 5: Solve for x
    x = 29,873,521.04/7,762.38
  6. Step 6: Final answer
    x = 3,848.50

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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.