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Finding the Fourth Proportional to 8,406.08, 11,600.56 and 4,680.08

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Solution

The fourth proportional to 8,406.08, 11,600.56 and 4,680.08 is: 6,458.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.08 : 11,600.56 = 4,680.08 : x
  2. Step 2: Convert to fraction form
    8,406.08/11,600.56 = 4,680.08/x
  3. Step 3: Cross multiply
    8,406.08x = 11,600.56 × 4,680.08
  4. Step 4: Simplify right side
    8,406.08x = 54,291,548.84
  5. Step 5: Solve for x
    x = 54,291,548.84/8,406.08
  6. Step 6: Final answer
    x = 6,458.60

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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.