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Finding the Fourth Proportional to 8,906.16, 13,355.04 and 5,209.52

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Solution

The fourth proportional to 8,906.16, 13,355.04 and 5,209.52 is: 7,811.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.16 : 13,355.04 = 5,209.52 : x
  2. Step 2: Convert to fraction form
    8,906.16/13,355.04 = 5,209.52/x
  3. Step 3: Cross multiply
    8,906.16x = 13,355.04 × 5,209.52
  4. Step 4: Simplify right side
    8,906.16x = 69,573,347.98
  5. Step 5: Solve for x
    x = 69,573,347.98/8,906.16
  6. Step 6: Final answer
    x = 7,811.82

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1.5x scale

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.