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Finding the Fourth Proportional to 8,457.66, 12,686.36 and 3,458.97

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Solution

The fourth proportional to 8,457.66, 12,686.36 and 3,458.97 is: 5,188.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.66 : 12,686.36 = 3,458.97 : x
  2. Step 2: Convert to fraction form
    8,457.66/12,686.36 = 3,458.97/x
  3. Step 3: Cross multiply
    8,457.66x = 12,686.36 × 3,458.97
  4. Step 4: Simplify right side
    8,457.66x = 43,881,721.35
  5. Step 5: Solve for x
    x = 43,881,721.35/8,457.66
  6. Step 6: Final answer
    x = 5,188.40

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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.