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Finding the Fourth Proportional to 8,564.46, 11,838.90 and 8,215.62

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Solution

The fourth proportional to 8,564.46, 11,838.90 and 8,215.62 is: 11,356.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.46 : 11,838.90 = 8,215.62 : x
  2. Step 2: Convert to fraction form
    8,564.46/11,838.90 = 8,215.62/x
  3. Step 3: Cross multiply
    8,564.46x = 11,838.90 × 8,215.62
  4. Step 4: Simplify right side
    8,564.46x = 97,263,903.62
  5. Step 5: Solve for x
    x = 97,263,903.62/8,564.46
  6. Step 6: Final answer
    x = 11,356.69

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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.