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Finding the Fourth Proportional to 8,378.50, 11,564.74 and 6,711.52

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Solution

The fourth proportional to 8,378.50, 11,564.74 and 6,711.52 is: 9,263.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.50 : 11,564.74 = 6,711.52 : x
  2. Step 2: Convert to fraction form
    8,378.50/11,564.74 = 6,711.52/x
  3. Step 3: Cross multiply
    8,378.50x = 11,564.74 × 6,711.52
  4. Step 4: Simplify right side
    8,378.50x = 77,616,983.80
  5. Step 5: Solve for x
    x = 77,616,983.80/8,378.50
  6. Step 6: Final answer
    x = 9,263.83

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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.