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Finding the Fourth Proportional to 7,742, 10,676.72 and 5,970.80

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Solution

The fourth proportional to 7,742, 10,676.72 and 5,970.80 is: 8,234.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742 : 10,676.72 = 5,970.80 : x
  2. Step 2: Convert to fraction form
    7,742/10,676.72 = 5,970.80/x
  3. Step 3: Cross multiply
    7,742x = 10,676.72 × 5,970.80
  4. Step 4: Simplify right side
    7,742x = 63,748,559.78
  5. Step 5: Solve for x
    x = 63,748,559.78/7,742
  6. Step 6: Final answer
    x = 8,234.12

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