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Finding the Fourth Proportional to 9,287.77, 12,813.76 and 6,102.79

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Solution

The fourth proportional to 9,287.77, 12,813.76 and 6,102.79 is: 8,419.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.77 : 12,813.76 = 6,102.79 : x
  2. Step 2: Convert to fraction form
    9,287.77/12,813.76 = 6,102.79/x
  3. Step 3: Cross multiply
    9,287.77x = 12,813.76 × 6,102.79
  4. Step 4: Simplify right side
    9,287.77x = 78,199,622.32
  5. Step 5: Solve for x
    x = 78,199,622.32/9,287.77
  6. Step 6: Final answer
    x = 8,419.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.