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Finding the Fourth Proportional to 4,650.78, 6,972.12 and 1,877.34

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Solution

The fourth proportional to 4,650.78, 6,972.12 and 1,877.34 is: 2,814.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.78 : 6,972.12 = 1,877.34 : x
  2. Step 2: Convert to fraction form
    4,650.78/6,972.12 = 1,877.34/x
  3. Step 3: Cross multiply
    4,650.78x = 6,972.12 × 1,877.34
  4. Step 4: Simplify right side
    4,650.78x = 13,089,039.76
  5. Step 5: Solve for x
    x = 13,089,039.76/4,650.78
  6. Step 6: Final answer
    x = 2,814.38

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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.