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Finding the Fourth Proportional to 5,102.58, 7,699.82 and 4,919.52

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Solution

The fourth proportional to 5,102.58, 7,699.82 and 4,919.52 is: 7,423.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.58 : 7,699.82 = 4,919.52 : x
  2. Step 2: Convert to fraction form
    5,102.58/7,699.82 = 4,919.52/x
  3. Step 3: Cross multiply
    5,102.58x = 7,699.82 × 4,919.52
  4. Step 4: Simplify right side
    5,102.58x = 37,879,430.79
  5. Step 5: Solve for x
    x = 37,879,430.79/5,102.58
  6. Step 6: Final answer
    x = 7,423.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.