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Finding the Fourth Proportional to 9,797.17, 13,520.10 and 5,320.95

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Solution

The fourth proportional to 9,797.17, 13,520.10 and 5,320.95 is: 7,342.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.17 : 13,520.10 = 5,320.95 : x
  2. Step 2: Convert to fraction form
    9,797.17/13,520.10 = 5,320.95/x
  3. Step 3: Cross multiply
    9,797.17x = 13,520.10 × 5,320.95
  4. Step 4: Simplify right side
    9,797.17x = 71,939,776.10
  5. Step 5: Solve for x
    x = 71,939,776.10/9,797.17
  6. Step 6: Final answer
    x = 7,342.91

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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.