Home / 13,102-19,680.10-10,606.12

Finding the Fourth Proportional to 13,102, 19,680.10 and 10,606.12

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Solution

The fourth proportional to 13,102, 19,680.10 and 10,606.12 is: 15,931.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102 : 19,680.10 = 10,606.12 : x
  2. Step 2: Convert to fraction form
    13,102/19,680.10 = 10,606.12/x
  3. Step 3: Cross multiply
    13,102x = 19,680.10 × 10,606.12
  4. Step 4: Simplify right side
    13,102x = 208,729,502.21
  5. Step 5: Solve for x
    x = 208,729,502.21/13,102
  6. Step 6: Final answer
    x = 15,931.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.