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Finding the Fourth Proportional to 12,878.56, 17,774.16 and 7,289.44

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Solution

The fourth proportional to 12,878.56, 17,774.16 and 7,289.44 is: 10,060.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.56 : 17,774.16 = 7,289.44 : x
  2. Step 2: Convert to fraction form
    12,878.56/17,774.16 = 7,289.44/x
  3. Step 3: Cross multiply
    12,878.56x = 17,774.16 × 7,289.44
  4. Step 4: Simplify right side
    12,878.56x = 129,563,672.87
  5. Step 5: Solve for x
    x = 129,563,672.87/12,878.56
  6. Step 6: Final answer
    x = 10,060.42

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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.