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Finding the Fourth Proportional to 5,103, 7,656.32 and 2,507.76

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Solution

The fourth proportional to 5,103, 7,656.32 and 2,507.76 is: 3,762.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103 : 7,656.32 = 2,507.76 : x
  2. Step 2: Convert to fraction form
    5,103/7,656.32 = 2,507.76/x
  3. Step 3: Cross multiply
    5,103x = 7,656.32 × 2,507.76
  4. Step 4: Simplify right side
    5,103x = 19,200,219.31
  5. Step 5: Solve for x
    x = 19,200,219.31/5,103
  6. Step 6: Final answer
    x = 3,762.54

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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.