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Finding the Fourth Proportional to 13,159, 19,713.66 and 10,202.50

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Solution

The fourth proportional to 13,159, 19,713.66 and 10,202.50 is: 15,284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,159 : 19,713.66 = 10,202.50 : x
  2. Step 2: Convert to fraction form
    13,159/19,713.66 = 10,202.50/x
  3. Step 3: Cross multiply
    13,159x = 19,713.66 × 10,202.50
  4. Step 4: Simplify right side
    13,159x = 201,128,616.15
  5. Step 5: Solve for x
    x = 201,128,616.15/13,159
  6. Step 6: Final answer
    x = 15,284.49

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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.