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Finding the Fourth Proportional to 13,663.12, 20,480.12 and 7,807.44

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Solution

The fourth proportional to 13,663.12, 20,480.12 and 7,807.44 is: 11,702.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.12 : 20,480.12 = 7,807.44 : x
  2. Step 2: Convert to fraction form
    13,663.12/20,480.12 = 7,807.44/x
  3. Step 3: Cross multiply
    13,663.12x = 20,480.12 × 7,807.44
  4. Step 4: Simplify right side
    13,663.12x = 159,897,308.09
  5. Step 5: Solve for x
    x = 159,897,308.09/13,663.12
  6. Step 6: Final answer
    x = 11,702.84

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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.