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Finding the Fourth Proportional to 9,195.44, 12,689.42 and 5,417.76

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Solution

The fourth proportional to 9,195.44, 12,689.42 and 5,417.76 is: 7,476.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.44 : 12,689.42 = 5,417.76 : x
  2. Step 2: Convert to fraction form
    9,195.44/12,689.42 = 5,417.76/x
  3. Step 3: Cross multiply
    9,195.44x = 12,689.42 × 5,417.76
  4. Step 4: Simplify right side
    9,195.44x = 68,748,232.10
  5. Step 5: Solve for x
    x = 68,748,232.10/9,195.44
  6. Step 6: Final answer
    x = 7,476.34

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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.