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Finding the Fourth Proportional to 19,972, 27,561.36 and 11,140

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Solution

The fourth proportional to 19,972, 27,561.36 and 11,140 is: 15,373.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,972 : 27,561.36 = 11,140 : x
  2. Step 2: Convert to fraction form
    19,972/27,561.36 = 11,140/x
  3. Step 3: Cross multiply
    19,972x = 27,561.36 × 11,140
  4. Step 4: Simplify right side
    19,972x = 307,033,550.40
  5. Step 5: Solve for x
    x = 307,033,550.40/19,972
  6. Step 6: Final answer
    x = 15,373.20

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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.