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Finding the Fourth Proportional to 7,878.93, 11,820.90 and 2,332.30

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Solution

The fourth proportional to 7,878.93, 11,820.90 and 2,332.30 is: 3,499.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.93 : 11,820.90 = 2,332.30 : x
  2. Step 2: Convert to fraction form
    7,878.93/11,820.90 = 2,332.30/x
  3. Step 3: Cross multiply
    7,878.93x = 11,820.90 × 2,332.30
  4. Step 4: Simplify right side
    7,878.93x = 27,569,873.41
  5. Step 5: Solve for x
    x = 27,569,873.41/7,878.93
  6. Step 6: Final answer
    x = 3,499.19

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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.