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Finding the Fourth Proportional to 19,402.50, 26,774.19 and 11,442.90

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Solution

The fourth proportional to 19,402.50, 26,774.19 and 11,442.90 is: 15,790.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,402.50 : 26,774.19 = 11,442.90 : x
  2. Step 2: Convert to fraction form
    19,402.50/26,774.19 = 11,442.90/x
  3. Step 3: Cross multiply
    19,402.50x = 26,774.19 × 11,442.90
  4. Step 4: Simplify right side
    19,402.50x = 306,374,378.75
  5. Step 5: Solve for x
    x = 306,374,378.75/19,402.50
  6. Step 6: Final answer
    x = 15,790.46

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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.