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Finding the Fourth Proportional to 19,702.40, 27,190.94 and 11,207.20

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Solution

The fourth proportional to 19,702.40, 27,190.94 and 11,207.20 is: 15,466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702.40 : 27,190.94 = 11,207.20 : x
  2. Step 2: Convert to fraction form
    19,702.40/27,190.94 = 11,207.20/x
  3. Step 3: Cross multiply
    19,702.40x = 27,190.94 × 11,207.20
  4. Step 4: Simplify right side
    19,702.40x = 304,734,302.77
  5. Step 5: Solve for x
    x = 304,734,302.77/19,702.40
  6. Step 6: Final answer
    x = 15,466.86

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1.5x scale

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.