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Finding the Fourth Proportional to 8,464.64, 12,680.21 and 7,826.63

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Solution

The fourth proportional to 8,464.64, 12,680.21 and 7,826.63 is: 11,724.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.64 : 12,680.21 = 7,826.63 : x
  2. Step 2: Convert to fraction form
    8,464.64/12,680.21 = 7,826.63/x
  3. Step 3: Cross multiply
    8,464.64x = 12,680.21 × 7,826.63
  4. Step 4: Simplify right side
    8,464.64x = 99,243,268.16
  5. Step 5: Solve for x
    x = 99,243,268.16/8,464.64
  6. Step 6: Final answer
    x = 11,724.46

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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.