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Finding the Fourth Proportional to 8,564.59, 11,743.67 and 7,721.92

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Solution

The fourth proportional to 8,564.59, 11,743.67 and 7,721.92 is: 10,588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.59 : 11,743.67 = 7,721.92 : x
  2. Step 2: Convert to fraction form
    8,564.59/11,743.67 = 7,721.92/x
  3. Step 3: Cross multiply
    8,564.59x = 11,743.67 × 7,721.92
  4. Step 4: Simplify right side
    8,564.59x = 90,683,680.25
  5. Step 5: Solve for x
    x = 90,683,680.25/8,564.59
  6. Step 6: Final answer
    x = 10,588.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.