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Finding the Fourth Proportional to 8,782.35, 12,129.63 and 5,906.08

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Solution

The fourth proportional to 8,782.35, 12,129.63 and 5,906.08 is: 8,157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.35 : 12,129.63 = 5,906.08 : x
  2. Step 2: Convert to fraction form
    8,782.35/12,129.63 = 5,906.08/x
  3. Step 3: Cross multiply
    8,782.35x = 12,129.63 × 5,906.08
  4. Step 4: Simplify right side
    8,782.35x = 71,638,565.15
  5. Step 5: Solve for x
    x = 71,638,565.15/8,782.35
  6. Step 6: Final answer
    x = 8,157.11

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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.