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Finding the Fourth Proportional to 5,207.38, 7,812.23 and 1,509.76

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Solution

The fourth proportional to 5,207.38, 7,812.23 and 1,509.76 is: 2,264.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.38 : 7,812.23 = 1,509.76 : x
  2. Step 2: Convert to fraction form
    5,207.38/7,812.23 = 1,509.76/x
  3. Step 3: Cross multiply
    5,207.38x = 7,812.23 × 1,509.76
  4. Step 4: Simplify right side
    5,207.38x = 11,794,584.82
  5. Step 5: Solve for x
    x = 11,794,584.82/5,207.38
  6. Step 6: Final answer
    x = 2,264.97

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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.