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Finding the Fourth Proportional to 9,885.82, 13,642.44 and 5,409.56

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Solution

The fourth proportional to 9,885.82, 13,642.44 and 5,409.56 is: 7,465.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.82 : 13,642.44 = 5,409.56 : x
  2. Step 2: Convert to fraction form
    9,885.82/13,642.44 = 5,409.56/x
  3. Step 3: Cross multiply
    9,885.82x = 13,642.44 × 5,409.56
  4. Step 4: Simplify right side
    9,885.82x = 73,799,597.73
  5. Step 5: Solve for x
    x = 73,799,597.73/9,885.82
  6. Step 6: Final answer
    x = 7,465.20

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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.