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Finding the Fourth Proportional to 19,538, 26,963.52 and 11,157.20

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Solution

The fourth proportional to 19,538, 26,963.52 and 11,157.20 is: 15,397.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,538 : 26,963.52 = 11,157.20 : x
  2. Step 2: Convert to fraction form
    19,538/26,963.52 = 11,157.20/x
  3. Step 3: Cross multiply
    19,538x = 26,963.52 × 11,157.20
  4. Step 4: Simplify right side
    19,538x = 300,837,385.34
  5. Step 5: Solve for x
    x = 300,837,385.34/19,538
  6. Step 6: Final answer
    x = 15,397.55

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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.