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Finding the Fourth Proportional to 12,993.86, 19,507.20 and 10,393.76

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Solution

The fourth proportional to 12,993.86, 19,507.20 and 10,393.76 is: 15,603.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,993.86 : 19,507.20 = 10,393.76 : x
  2. Step 2: Convert to fraction form
    12,993.86/19,507.20 = 10,393.76/x
  3. Step 3: Cross multiply
    12,993.86x = 19,507.20 × 10,393.76
  4. Step 4: Simplify right side
    12,993.86x = 202,753,155.07
  5. Step 5: Solve for x
    x = 202,753,155.07/12,993.86
  6. Step 6: Final answer
    x = 15,603.77

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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.