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Finding the Fourth Proportional to 9,941.68, 13,695.01 and 8,520.81

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Solution

The fourth proportional to 9,941.68, 13,695.01 and 8,520.81 is: 11,737.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,941.68 : 13,695.01 = 8,520.81 : x
  2. Step 2: Convert to fraction form
    9,941.68/13,695.01 = 8,520.81/x
  3. Step 3: Cross multiply
    9,941.68x = 13,695.01 × 8,520.81
  4. Step 4: Simplify right side
    9,941.68x = 116,692,578.16
  5. Step 5: Solve for x
    x = 116,692,578.16/9,941.68
  6. Step 6: Final answer
    x = 11,737.71

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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.