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Finding the Fourth Proportional to 13,302, 19,952.96 and 6,719.12

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Solution

The fourth proportional to 13,302, 19,952.96 and 6,719.12 is: 10,078.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,302 : 19,952.96 = 6,719.12 : x
  2. Step 2: Convert to fraction form
    13,302/19,952.96 = 6,719.12/x
  3. Step 3: Cross multiply
    13,302x = 19,952.96 × 6,719.12
  4. Step 4: Simplify right side
    13,302x = 134,066,332.60
  5. Step 5: Solve for x
    x = 134,066,332.60/13,302
  6. Step 6: Final answer
    x = 10,078.66

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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.