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Finding the Fourth Proportional to 8,407.96, 11,600.25 and 4,870.48

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Solution

The fourth proportional to 8,407.96, 11,600.25 and 4,870.48 is: 6,719.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.96 : 11,600.25 = 4,870.48 : x
  2. Step 2: Convert to fraction form
    8,407.96/11,600.25 = 4,870.48/x
  3. Step 3: Cross multiply
    8,407.96x = 11,600.25 × 4,870.48
  4. Step 4: Simplify right side
    8,407.96x = 56,498,785.62
  5. Step 5: Solve for x
    x = 56,498,785.62/8,407.96
  6. Step 6: Final answer
    x = 6,719.68

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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.