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Finding the Fourth Proportional to 19,796, 27,318.56 and 10,964

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Solution

The fourth proportional to 19,796, 27,318.56 and 10,964 is: 15,130.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,796 : 27,318.56 = 10,964 : x
  2. Step 2: Convert to fraction form
    19,796/27,318.56 = 10,964/x
  3. Step 3: Cross multiply
    19,796x = 27,318.56 × 10,964
  4. Step 4: Simplify right side
    19,796x = 299,520,691.84
  5. Step 5: Solve for x
    x = 299,520,691.84/19,796
  6. Step 6: Final answer
    x = 15,130.36

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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.