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Finding the Fourth Proportional to 7,102.70, 10,645.54 and 5,019.58

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Solution

The fourth proportional to 7,102.70, 10,645.54 and 5,019.58 is: 7,523.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.70 : 10,645.54 = 5,019.58 : x
  2. Step 2: Convert to fraction form
    7,102.70/10,645.54 = 5,019.58/x
  3. Step 3: Cross multiply
    7,102.70x = 10,645.54 × 5,019.58
  4. Step 4: Simplify right side
    7,102.70x = 53,436,139.67
  5. Step 5: Solve for x
    x = 53,436,139.67/7,102.70
  6. Step 6: Final answer
    x = 7,523.36

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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.