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Finding the Fourth Proportional to 9,502.10, 13,104.38 and 7,914.02

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Solution

The fourth proportional to 9,502.10, 13,104.38 and 7,914.02 is: 10,914.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.10 : 13,104.38 = 7,914.02 : x
  2. Step 2: Convert to fraction form
    9,502.10/13,104.38 = 7,914.02/x
  3. Step 3: Cross multiply
    9,502.10x = 13,104.38 × 7,914.02
  4. Step 4: Simplify right side
    9,502.10x = 103,708,325.41
  5. Step 5: Solve for x
    x = 103,708,325.41/9,502.10
  6. Step 6: Final answer
    x = 10,914.25

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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.