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Finding the Fourth Proportional to 5,178.24, 7,762.68 and 2,056.14

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Solution

The fourth proportional to 5,178.24, 7,762.68 and 2,056.14 is: 3,082.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.24 : 7,762.68 = 2,056.14 : x
  2. Step 2: Convert to fraction form
    5,178.24/7,762.68 = 2,056.14/x
  3. Step 3: Cross multiply
    5,178.24x = 7,762.68 × 2,056.14
  4. Step 4: Simplify right side
    5,178.24x = 15,961,156.86
  5. Step 5: Solve for x
    x = 15,961,156.86/5,178.24
  6. Step 6: Final answer
    x = 3,082.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.