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Finding the Fourth Proportional to 13,605.60, 20,386.80 and 8,983.20

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Solution

The fourth proportional to 13,605.60, 20,386.80 and 8,983.20 is: 13,460.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.60 : 20,386.80 = 8,983.20 : x
  2. Step 2: Convert to fraction form
    13,605.60/20,386.80 = 8,983.20/x
  3. Step 3: Cross multiply
    13,605.60x = 20,386.80 × 8,983.20
  4. Step 4: Simplify right side
    13,605.60x = 183,138,701.76
  5. Step 5: Solve for x
    x = 183,138,701.76/13,605.60
  6. Step 6: Final answer
    x = 13,460.54

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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.