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Finding the Fourth Proportional to 15,054, 20,774.56 and 8,430

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Solution

The fourth proportional to 15,054, 20,774.56 and 8,430 is: 11,633.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,054 : 20,774.56 = 8,430 : x
  2. Step 2: Convert to fraction form
    15,054/20,774.56 = 8,430/x
  3. Step 3: Cross multiply
    15,054x = 20,774.56 × 8,430
  4. Step 4: Simplify right side
    15,054x = 175,129,540.80
  5. Step 5: Solve for x
    x = 175,129,540.80/15,054
  6. Step 6: Final answer
    x = 11,633.42

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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.