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Finding the Fourth Proportional to 9,695.79, 13,371.98 and 8,190.74

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Solution

The fourth proportional to 9,695.79, 13,371.98 and 8,190.74 is: 11,296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.79 : 13,371.98 = 8,190.74 : x
  2. Step 2: Convert to fraction form
    9,695.79/13,371.98 = 8,190.74/x
  3. Step 3: Cross multiply
    9,695.79x = 13,371.98 × 8,190.74
  4. Step 4: Simplify right side
    9,695.79x = 109,526,403.94
  5. Step 5: Solve for x
    x = 109,526,403.94/9,695.79
  6. Step 6: Final answer
    x = 11,296.28

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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.