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Finding the Fourth Proportional to 19,143, 26,417.61 and 11,691

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Solution

The fourth proportional to 19,143, 26,417.61 and 11,691 is: 16,133.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,143 : 26,417.61 = 11,691 : x
  2. Step 2: Convert to fraction form
    19,143/26,417.61 = 11,691/x
  3. Step 3: Cross multiply
    19,143x = 26,417.61 × 11,691
  4. Step 4: Simplify right side
    19,143x = 308,848,278.51
  5. Step 5: Solve for x
    x = 308,848,278.51/19,143
  6. Step 6: Final answer
    x = 16,133.74

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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.