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Finding the Fourth Proportional to 8,564.74, 11,819.73 and 6,698.50

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Solution

The fourth proportional to 8,564.74, 11,819.73 and 6,698.50 is: 9,244.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.74 : 11,819.73 = 6,698.50 : x
  2. Step 2: Convert to fraction form
    8,564.74/11,819.73 = 6,698.50/x
  3. Step 3: Cross multiply
    8,564.74x = 11,819.73 × 6,698.50
  4. Step 4: Simplify right side
    8,564.74x = 79,174,461.41
  5. Step 5: Solve for x
    x = 79,174,461.41/8,564.74
  6. Step 6: Final answer
    x = 9,244.23

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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.