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Finding the Fourth Proportional to 2,509.47, 3,764.29 and 866.07

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Solution

The fourth proportional to 2,509.47, 3,764.29 and 866.07 is: 1,299.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.47 : 3,764.29 = 866.07 : x
  2. Step 2: Convert to fraction form
    2,509.47/3,764.29 = 866.07/x
  3. Step 3: Cross multiply
    2,509.47x = 3,764.29 × 866.07
  4. Step 4: Simplify right side
    2,509.47x = 3,260,138.64
  5. Step 5: Solve for x
    x = 3,260,138.64/2,509.47
  6. Step 6: Final answer
    x = 1,299.13

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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.