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Finding the Fourth Proportional to 8,564.40, 11,824.44 and 7,666.58

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Solution

The fourth proportional to 8,564.40, 11,824.44 and 7,666.58 is: 10,584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.40 : 11,824.44 = 7,666.58 : x
  2. Step 2: Convert to fraction form
    8,564.40/11,824.44 = 7,666.58/x
  3. Step 3: Cross multiply
    8,564.40x = 11,824.44 × 7,666.58
  4. Step 4: Simplify right side
    8,564.40x = 90,653,015.22
  5. Step 5: Solve for x
    x = 90,653,015.22/8,564.40
  6. Step 6: Final answer
    x = 10,584.86

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1.5x scale

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.