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Finding the Fourth Proportional to 9,502.31, 13,128.44 and 8,100.81

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Solution

The fourth proportional to 9,502.31, 13,128.44 and 8,100.81 is: 11,192.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.31 : 13,128.44 = 8,100.81 : x
  2. Step 2: Convert to fraction form
    9,502.31/13,128.44 = 8,100.81/x
  3. Step 3: Cross multiply
    9,502.31x = 13,128.44 × 8,100.81
  4. Step 4: Simplify right side
    9,502.31x = 106,350,957.53
  5. Step 5: Solve for x
    x = 106,350,957.53/9,502.31
  6. Step 6: Final answer
    x = 11,192.12

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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.