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Finding the Fourth Proportional to 9,281.82, 12,811.14 and 5,305.26

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Solution

The fourth proportional to 9,281.82, 12,811.14 and 5,305.26 is: 7,322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.82 : 12,811.14 = 5,305.26 : x
  2. Step 2: Convert to fraction form
    9,281.82/12,811.14 = 5,305.26/x
  3. Step 3: Cross multiply
    9,281.82x = 12,811.14 × 5,305.26
  4. Step 4: Simplify right side
    9,281.82x = 67,966,428.60
  5. Step 5: Solve for x
    x = 67,966,428.60/9,281.82
  6. Step 6: Final answer
    x = 7,322.53

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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.