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Finding the Fourth Proportional to 5,156.76, 7,736.12 and 2,345.81

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Solution

The fourth proportional to 5,156.76, 7,736.12 and 2,345.81 is: 3,519.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.76 : 7,736.12 = 2,345.81 : x
  2. Step 2: Convert to fraction form
    5,156.76/7,736.12 = 2,345.81/x
  3. Step 3: Cross multiply
    5,156.76x = 7,736.12 × 2,345.81
  4. Step 4: Simplify right side
    5,156.76x = 18,147,417.25
  5. Step 5: Solve for x
    x = 18,147,417.25/5,156.76
  6. Step 6: Final answer
    x = 3,519.15

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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.