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Finding the Fourth Proportional to 7,774.02, 10,719.68 and 5,251.76

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Solution

The fourth proportional to 7,774.02, 10,719.68 and 5,251.76 is: 7,241.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.02 : 10,719.68 = 5,251.76 : x
  2. Step 2: Convert to fraction form
    7,774.02/10,719.68 = 5,251.76/x
  3. Step 3: Cross multiply
    7,774.02x = 10,719.68 × 5,251.76
  4. Step 4: Simplify right side
    7,774.02x = 56,297,136.32
  5. Step 5: Solve for x
    x = 56,297,136.32/7,774.02
  6. Step 6: Final answer
    x = 7,241.70

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1.5x scale

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.