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Finding the Fourth Proportional to 11,453.60, 15,806.15 and 6,977.54

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Solution

The fourth proportional to 11,453.60, 15,806.15 and 6,977.54 is: 9,629.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,453.60 : 15,806.15 = 6,977.54 : x
  2. Step 2: Convert to fraction form
    11,453.60/15,806.15 = 6,977.54/x
  3. Step 3: Cross multiply
    11,453.60x = 15,806.15 × 6,977.54
  4. Step 4: Simplify right side
    11,453.60x = 110,288,008.98
  5. Step 5: Solve for x
    x = 110,288,008.98/11,453.60
  6. Step 6: Final answer
    x = 9,629.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.