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Finding the Fourth Proportional to 9,922.99, 13,693.50 and 6,386.20

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Solution

The fourth proportional to 9,922.99, 13,693.50 and 6,386.20 is: 8,812.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.99 : 13,693.50 = 6,386.20 : x
  2. Step 2: Convert to fraction form
    9,922.99/13,693.50 = 6,386.20/x
  3. Step 3: Cross multiply
    9,922.99x = 13,693.50 × 6,386.20
  4. Step 4: Simplify right side
    9,922.99x = 87,449,429.70
  5. Step 5: Solve for x
    x = 87,449,429.70/9,922.99
  6. Step 6: Final answer
    x = 8,812.81

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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.