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Finding the Fourth Proportional to 15,813.70, 21,825.10 and 9,099.20

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Solution

The fourth proportional to 15,813.70, 21,825.10 and 9,099.20 is: 12,558.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.70 : 21,825.10 = 9,099.20 : x
  2. Step 2: Convert to fraction form
    15,813.70/21,825.10 = 9,099.20/x
  3. Step 3: Cross multiply
    15,813.70x = 21,825.10 × 9,099.20
  4. Step 4: Simplify right side
    15,813.70x = 198,590,949.92
  5. Step 5: Solve for x
    x = 198,590,949.92/15,813.70
  6. Step 6: Final answer
    x = 12,558.16

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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.