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Finding the Fourth Proportional to 7,766.72, 10,716 and 4,973.84

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Solution

The fourth proportional to 7,766.72, 10,716 and 4,973.84 is: 6,862.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.72 : 10,716 = 4,973.84 : x
  2. Step 2: Convert to fraction form
    7,766.72/10,716 = 4,973.84/x
  3. Step 3: Cross multiply
    7,766.72x = 10,716 × 4,973.84
  4. Step 4: Simplify right side
    7,766.72x = 53,299,669.44
  5. Step 5: Solve for x
    x = 53,299,669.44/7,766.72
  6. Step 6: Final answer
    x = 6,862.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.