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Finding the Fourth Proportional to 8,451.04, 11,657.74 and 4,913.86

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Solution

The fourth proportional to 8,451.04, 11,657.74 and 4,913.86 is: 6,778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451.04 : 11,657.74 = 4,913.86 : x
  2. Step 2: Convert to fraction form
    8,451.04/11,657.74 = 4,913.86/x
  3. Step 3: Cross multiply
    8,451.04x = 11,657.74 × 4,913.86
  4. Step 4: Simplify right side
    8,451.04x = 57,284,502.28
  5. Step 5: Solve for x
    x = 57,284,502.28/8,451.04
  6. Step 6: Final answer
    x = 6,778.40

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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.