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Finding the Fourth Proportional to 9,922.30, 13,691.84 and 5,672.50

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Solution

The fourth proportional to 9,922.30, 13,691.84 and 5,672.50 is: 7,827.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.30 : 13,691.84 = 5,672.50 : x
  2. Step 2: Convert to fraction form
    9,922.30/13,691.84 = 5,672.50/x
  3. Step 3: Cross multiply
    9,922.30x = 13,691.84 × 5,672.50
  4. Step 4: Simplify right side
    9,922.30x = 77,666,899.81
  5. Step 5: Solve for x
    x = 77,666,899.81/9,922.30
  6. Step 6: Final answer
    x = 7,827.51

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