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Finding the Fourth Proportional to 13,602.30, 20,383.98 and 7,746.81

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Solution

The fourth proportional to 13,602.30, 20,383.98 and 7,746.81 is: 11,609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.30 : 20,383.98 = 7,746.81 : x
  2. Step 2: Convert to fraction form
    13,602.30/20,383.98 = 7,746.81/x
  3. Step 3: Cross multiply
    13,602.30x = 20,383.98 × 7,746.81
  4. Step 4: Simplify right side
    13,602.30x = 157,910,820.10
  5. Step 5: Solve for x
    x = 157,910,820.10/13,602.30
  6. Step 6: Final answer
    x = 11,609.13

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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.