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Finding the Fourth Proportional to 8,709.78, 13,066.29 and 2,866.62

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Solution

The fourth proportional to 8,709.78, 13,066.29 and 2,866.62 is: 4,300.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.78 : 13,066.29 = 2,866.62 : x
  2. Step 2: Convert to fraction form
    8,709.78/13,066.29 = 2,866.62/x
  3. Step 3: Cross multiply
    8,709.78x = 13,066.29 × 2,866.62
  4. Step 4: Simplify right side
    8,709.78x = 37,456,088.24
  5. Step 5: Solve for x
    x = 37,456,088.24/8,709.78
  6. Step 6: Final answer
    x = 4,300.46

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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.