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Finding the Fourth Proportional to 8,378.34, 12,563.64 and 7,721.70

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Solution

The fourth proportional to 8,378.34, 12,563.64 and 7,721.70 is: 11,578.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.34 : 12,563.64 = 7,721.70 : x
  2. Step 2: Convert to fraction form
    8,378.34/12,563.64 = 7,721.70/x
  3. Step 3: Cross multiply
    8,378.34x = 12,563.64 × 7,721.70
  4. Step 4: Simplify right side
    8,378.34x = 97,012,658.99
  5. Step 5: Solve for x
    x = 97,012,658.99/8,378.34
  6. Step 6: Final answer
    x = 11,578.98

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1.5x scale

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.