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Finding the Fourth Proportional to 8,464.77, 12,697.56 and 4,085.91

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Solution

The fourth proportional to 8,464.77, 12,697.56 and 4,085.91 is: 6,129.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.77 : 12,697.56 = 4,085.91 : x
  2. Step 2: Convert to fraction form
    8,464.77/12,697.56 = 4,085.91/x
  3. Step 3: Cross multiply
    8,464.77x = 12,697.56 × 4,085.91
  4. Step 4: Simplify right side
    8,464.77x = 51,881,087.38
  5. Step 5: Solve for x
    x = 51,881,087.38/8,464.77
  6. Step 6: Final answer
    x = 6,129.06

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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.