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Finding the Fourth Proportional to 8,220.16, 11,339.12 and 5,074.16

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Solution

The fourth proportional to 8,220.16, 11,339.12 and 5,074.16 is: 6,999.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.16 : 11,339.12 = 5,074.16 : x
  2. Step 2: Convert to fraction form
    8,220.16/11,339.12 = 5,074.16/x
  3. Step 3: Cross multiply
    8,220.16x = 11,339.12 × 5,074.16
  4. Step 4: Simplify right side
    8,220.16x = 57,536,509.14
  5. Step 5: Solve for x
    x = 57,536,509.14/8,220.16
  6. Step 6: Final answer
    x = 6,999.44

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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.