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Finding the Fourth Proportional to 8,263.78, 12,384.43 and 4,560.50

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Solution

The fourth proportional to 8,263.78, 12,384.43 and 4,560.50 is: 6,834.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.78 : 12,384.43 = 4,560.50 : x
  2. Step 2: Convert to fraction form
    8,263.78/12,384.43 = 4,560.50/x
  3. Step 3: Cross multiply
    8,263.78x = 12,384.43 × 4,560.50
  4. Step 4: Simplify right side
    8,263.78x = 56,479,193.02
  5. Step 5: Solve for x
    x = 56,479,193.02/8,263.78
  6. Step 6: Final answer
    x = 6,834.55

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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.