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Finding the Fourth Proportional to 8,637, 12,933.60 and 5,340.09

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Solution

The fourth proportional to 8,637, 12,933.60 and 5,340.09 is: 7,996.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,637 : 12,933.60 = 5,340.09 : x
  2. Step 2: Convert to fraction form
    8,637/12,933.60 = 5,340.09/x
  3. Step 3: Cross multiply
    8,637x = 12,933.60 × 5,340.09
  4. Step 4: Simplify right side
    8,637x = 69,066,588.02
  5. Step 5: Solve for x
    x = 69,066,588.02/8,637
  6. Step 6: Final answer
    x = 7,996.59

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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.