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Finding the Fourth Proportional to 7,763.72, 11,641.70 and 3,870.28

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Solution

The fourth proportional to 7,763.72, 11,641.70 and 3,870.28 is: 5,803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.72 : 11,641.70 = 3,870.28 : x
  2. Step 2: Convert to fraction form
    7,763.72/11,641.70 = 3,870.28/x
  3. Step 3: Cross multiply
    7,763.72x = 11,641.70 × 3,870.28
  4. Step 4: Simplify right side
    7,763.72x = 45,056,638.68
  5. Step 5: Solve for x
    x = 45,056,638.68/7,763.72
  6. Step 6: Final answer
    x = 5,803.49

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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.