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Finding the Fourth Proportional to 5,368, 8,056.36 and 2,771.68

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Solution

The fourth proportional to 5,368, 8,056.36 and 2,771.68 is: 4,159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368 : 8,056.36 = 2,771.68 : x
  2. Step 2: Convert to fraction form
    5,368/8,056.36 = 2,771.68/x
  3. Step 3: Cross multiply
    5,368x = 8,056.36 × 2,771.68
  4. Step 4: Simplify right side
    5,368x = 22,329,651.88
  5. Step 5: Solve for x
    x = 22,329,651.88/5,368
  6. Step 6: Final answer
    x = 4,159.77

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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.