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Finding the Fourth Proportional to 8,564.01, 12,828.07 and 6,889.08

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Solution

The fourth proportional to 8,564.01, 12,828.07 and 6,889.08 is: 10,319.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.01 : 12,828.07 = 6,889.08 : x
  2. Step 2: Convert to fraction form
    8,564.01/12,828.07 = 6,889.08/x
  3. Step 3: Cross multiply
    8,564.01x = 12,828.07 × 6,889.08
  4. Step 4: Simplify right side
    8,564.01x = 88,373,600.48
  5. Step 5: Solve for x
    x = 88,373,600.48/8,564.01
  6. Step 6: Final answer
    x = 10,319.18

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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.