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Finding the Fourth Proportional to 8,783.64, 13,175.64 and 3,237.48

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Solution

The fourth proportional to 8,783.64, 13,175.64 and 3,237.48 is: 4,856.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,783.64 : 13,175.64 = 3,237.48 : x
  2. Step 2: Convert to fraction form
    8,783.64/13,175.64 = 3,237.48/x
  3. Step 3: Cross multiply
    8,783.64x = 13,175.64 × 3,237.48
  4. Step 4: Simplify right side
    8,783.64x = 42,655,870.99
  5. Step 5: Solve for x
    x = 42,655,870.99/8,783.64
  6. Step 6: Final answer
    x = 4,856.29

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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.