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Finding the Fourth Proportional to 10,115, 13,960.14 and 9,672.20

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Solution

The fourth proportional to 10,115, 13,960.14 and 9,672.20 is: 13,349.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115 : 13,960.14 = 9,672.20 : x
  2. Step 2: Convert to fraction form
    10,115/13,960.14 = 9,672.20/x
  3. Step 3: Cross multiply
    10,115x = 13,960.14 × 9,672.20
  4. Step 4: Simplify right side
    10,115x = 135,025,266.11
  5. Step 5: Solve for x
    x = 135,025,266.11/10,115
  6. Step 6: Final answer
    x = 13,349.01

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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.