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Finding the Fourth Proportional to 7,914.84, 11,866.37 and 2,646.74

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Solution

The fourth proportional to 7,914.84, 11,866.37 and 2,646.74 is: 3,968.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.84 : 11,866.37 = 2,646.74 : x
  2. Step 2: Convert to fraction form
    7,914.84/11,866.37 = 2,646.74/x
  3. Step 3: Cross multiply
    7,914.84x = 11,866.37 × 2,646.74
  4. Step 4: Simplify right side
    7,914.84x = 31,407,196.13
  5. Step 5: Solve for x
    x = 31,407,196.13/7,914.84
  6. Step 6: Final answer
    x = 3,968.14

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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.