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Finding the Fourth Proportional to 19,993.10, 29,993.88 and 7,513.24

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Solution

The fourth proportional to 19,993.10, 29,993.88 and 7,513.24 is: 11,271.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,993.10 : 29,993.88 = 7,513.24 : x
  2. Step 2: Convert to fraction form
    19,993.10/29,993.88 = 7,513.24/x
  3. Step 3: Cross multiply
    19,993.10x = 29,993.88 × 7,513.24
  4. Step 4: Simplify right side
    19,993.10x = 225,351,143.99
  5. Step 5: Solve for x
    x = 225,351,143.99/19,993.10
  6. Step 6: Final answer
    x = 11,271.44

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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.