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Finding the Fourth Proportional to 12,679.78, 19,013.40 and 8,003.50

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Solution

The fourth proportional to 12,679.78, 19,013.40 and 8,003.50 is: 12,001.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,679.78 : 19,013.40 = 8,003.50 : x
  2. Step 2: Convert to fraction form
    12,679.78/19,013.40 = 8,003.50/x
  3. Step 3: Cross multiply
    12,679.78x = 19,013.40 × 8,003.50
  4. Step 4: Simplify right side
    12,679.78x = 152,173,746.90
  5. Step 5: Solve for x
    x = 152,173,746.90/12,679.78
  6. Step 6: Final answer
    x = 12,001.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.