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Finding the Fourth Proportional to 7,886.81, 11,830.62 and 2,043.47

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Solution

The fourth proportional to 7,886.81, 11,830.62 and 2,043.47 is: 3,065.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.81 : 11,830.62 = 2,043.47 : x
  2. Step 2: Convert to fraction form
    7,886.81/11,830.62 = 2,043.47/x
  3. Step 3: Cross multiply
    7,886.81x = 11,830.62 × 2,043.47
  4. Step 4: Simplify right side
    7,886.81x = 24,175,457.90
  5. Step 5: Solve for x
    x = 24,175,457.90/7,886.81
  6. Step 6: Final answer
    x = 3,065.30

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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.