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Finding the Fourth Proportional to 13,657.50, 20,466.54 and 7,815.78

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Solution

The fourth proportional to 13,657.50, 20,466.54 and 7,815.78 is: 11,712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.50 : 20,466.54 = 7,815.78 : x
  2. Step 2: Convert to fraction form
    13,657.50/20,466.54 = 7,815.78/x
  3. Step 3: Cross multiply
    13,657.50x = 20,466.54 × 7,815.78
  4. Step 4: Simplify right side
    13,657.50x = 159,961,974.00
  5. Step 5: Solve for x
    x = 159,961,974.00/13,657.50
  6. Step 6: Final answer
    x = 11,712.39

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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.