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Finding the Fourth Proportional to 4,651.67, 6,978.02 and 1,877.92

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Solution

The fourth proportional to 4,651.67, 6,978.02 and 1,877.92 is: 2,817.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.67 : 6,978.02 = 1,877.92 : x
  2. Step 2: Convert to fraction form
    4,651.67/6,978.02 = 1,877.92/x
  3. Step 3: Cross multiply
    4,651.67x = 6,978.02 × 1,877.92
  4. Step 4: Simplify right side
    4,651.67x = 13,104,136.48
  5. Step 5: Solve for x
    x = 13,104,136.48/4,651.67
  6. Step 6: Final answer
    x = 2,817.08

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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.