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Finding the Fourth Proportional to 9,797.74, 13,521 and 5,321.53

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Solution

The fourth proportional to 9,797.74, 13,521 and 5,321.53 is: 7,343.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.74 : 13,521 = 5,321.53 : x
  2. Step 2: Convert to fraction form
    9,797.74/13,521 = 5,321.53/x
  3. Step 3: Cross multiply
    9,797.74x = 13,521 × 5,321.53
  4. Step 4: Simplify right side
    9,797.74x = 71,952,407.13
  5. Step 5: Solve for x
    x = 71,952,407.13/9,797.74
  6. Step 6: Final answer
    x = 7,343.78

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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.