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Finding the Fourth Proportional to 12,813.86, 19,232.76 and 7,893.12

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Solution

The fourth proportional to 12,813.86, 19,232.76 and 7,893.12 is: 11,847.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.86 : 19,232.76 = 7,893.12 : x
  2. Step 2: Convert to fraction form
    12,813.86/19,232.76 = 7,893.12/x
  3. Step 3: Cross multiply
    12,813.86x = 19,232.76 × 7,893.12
  4. Step 4: Simplify right side
    12,813.86x = 151,806,482.61
  5. Step 5: Solve for x
    x = 151,806,482.61/12,813.86
  6. Step 6: Final answer
    x = 11,847.05

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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.