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Finding the Fourth Proportional to 7,762.75, 11,637 and 2,828.83

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Solution

The fourth proportional to 7,762.75, 11,637 and 2,828.83 is: 4,240.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.75 : 11,637 = 2,828.83 : x
  2. Step 2: Convert to fraction form
    7,762.75/11,637 = 2,828.83/x
  3. Step 3: Cross multiply
    7,762.75x = 11,637 × 2,828.83
  4. Step 4: Simplify right side
    7,762.75x = 32,919,094.71
  5. Step 5: Solve for x
    x = 32,919,094.71/7,762.75
  6. Step 6: Final answer
    x = 4,240.65

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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.