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Finding the Fourth Proportional to 9,395.62, 12,963.02 and 5,416.20

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Solution

The fourth proportional to 9,395.62, 12,963.02 and 5,416.20 is: 7,472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395.62 : 12,963.02 = 5,416.20 : x
  2. Step 2: Convert to fraction form
    9,395.62/12,963.02 = 5,416.20/x
  3. Step 3: Cross multiply
    9,395.62x = 12,963.02 × 5,416.20
  4. Step 4: Simplify right side
    9,395.62x = 70,210,308.92
  5. Step 5: Solve for x
    x = 70,210,308.92/9,395.62
  6. Step 6: Final answer
    x = 7,472.66

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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.