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Finding the Fourth Proportional to 7,878.03, 11,816.70 and 2,947.69

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Solution

The fourth proportional to 7,878.03, 11,816.70 and 2,947.69 is: 4,421.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.03 : 11,816.70 = 2,947.69 : x
  2. Step 2: Convert to fraction form
    7,878.03/11,816.70 = 2,947.69/x
  3. Step 3: Cross multiply
    7,878.03x = 11,816.70 × 2,947.69
  4. Step 4: Simplify right side
    7,878.03x = 34,831,968.42
  5. Step 5: Solve for x
    x = 34,831,968.42/7,878.03
  6. Step 6: Final answer
    x = 4,421.41

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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.