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Finding the Fourth Proportional to 19,776.75, 27,291.99 and 10,702.11

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Solution

The fourth proportional to 19,776.75, 27,291.99 and 10,702.11 is: 14,768.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,776.75 : 27,291.99 = 10,702.11 : x
  2. Step 2: Convert to fraction form
    19,776.75/27,291.99 = 10,702.11/x
  3. Step 3: Cross multiply
    19,776.75x = 27,291.99 × 10,702.11
  4. Step 4: Simplify right side
    19,776.75x = 292,082,020.07
  5. Step 5: Solve for x
    x = 292,082,020.07/19,776.75
  6. Step 6: Final answer
    x = 14,768.96

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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.