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Finding the Fourth Proportional to 7,877.78, 11,816.90 and 2,946.48

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Solution

The fourth proportional to 7,877.78, 11,816.90 and 2,946.48 is: 4,419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.78 : 11,816.90 = 2,946.48 : x
  2. Step 2: Convert to fraction form
    7,877.78/11,816.90 = 2,946.48/x
  3. Step 3: Cross multiply
    7,877.78x = 11,816.90 × 2,946.48
  4. Step 4: Simplify right side
    7,877.78x = 34,818,259.51
  5. Step 5: Solve for x
    x = 34,818,259.51/7,877.78
  6. Step 6: Final answer
    x = 4,419.81

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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.