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Finding the Fourth Proportional to 8,536.31, 12,803.78 and 2,913.50

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Solution

The fourth proportional to 8,536.31, 12,803.78 and 2,913.50 is: 4,370.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.31 : 12,803.78 = 2,913.50 : x
  2. Step 2: Convert to fraction form
    8,536.31/12,803.78 = 2,913.50/x
  3. Step 3: Cross multiply
    8,536.31x = 12,803.78 × 2,913.50
  4. Step 4: Simplify right side
    8,536.31x = 37,303,813.03
  5. Step 5: Solve for x
    x = 37,303,813.03/8,536.31
  6. Step 6: Final answer
    x = 4,370.02

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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.