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Finding the Fourth Proportional to 13,122.99, 19,688.13 and 5,728.10

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Solution

The fourth proportional to 13,122.99, 19,688.13 and 5,728.10 is: 8,593.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122.99 : 19,688.13 = 5,728.10 : x
  2. Step 2: Convert to fraction form
    13,122.99/19,688.13 = 5,728.10/x
  3. Step 3: Cross multiply
    13,122.99x = 19,688.13 × 5,728.10
  4. Step 4: Simplify right side
    13,122.99x = 112,775,479.01
  5. Step 5: Solve for x
    x = 112,775,479.01/13,122.99
  6. Step 6: Final answer
    x = 8,593.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.