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Finding the Fourth Proportional to 8,657.89, 11,947.89 and 4,678.99

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Solution

The fourth proportional to 8,657.89, 11,947.89 and 4,678.99 is: 6,457.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.89 : 11,947.89 = 4,678.99 : x
  2. Step 2: Convert to fraction form
    8,657.89/11,947.89 = 4,678.99/x
  3. Step 3: Cross multiply
    8,657.89x = 11,947.89 × 4,678.99
  4. Step 4: Simplify right side
    8,657.89x = 55,904,057.83
  5. Step 5: Solve for x
    x = 55,904,057.83/8,657.89
  6. Step 6: Final answer
    x = 6,457.01

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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.