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Finding the Fourth Proportional to 8,219.08, 11,346.08 and 5,239

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Solution

The fourth proportional to 8,219.08, 11,346.08 and 5,239 is: 7,232.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.08 : 11,346.08 = 5,239 : x
  2. Step 2: Convert to fraction form
    8,219.08/11,346.08 = 5,239/x
  3. Step 3: Cross multiply
    8,219.08x = 11,346.08 × 5,239
  4. Step 4: Simplify right side
    8,219.08x = 59,442,113.12
  5. Step 5: Solve for x
    x = 59,442,113.12/8,219.08
  6. Step 6: Final answer
    x = 7,232.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.