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Finding the Fourth Proportional to 8,254.77, 12,364.63 and 6,491.40

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Solution

The fourth proportional to 8,254.77, 12,364.63 and 6,491.40 is: 9,723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.77 : 12,364.63 = 6,491.40 : x
  2. Step 2: Convert to fraction form
    8,254.77/12,364.63 = 6,491.40/x
  3. Step 3: Cross multiply
    8,254.77x = 12,364.63 × 6,491.40
  4. Step 4: Simplify right side
    8,254.77x = 80,263,759.18
  5. Step 5: Solve for x
    x = 80,263,759.18/8,254.77
  6. Step 6: Final answer
    x = 9,723.32

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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.