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Finding the Fourth Proportional to 8,992.86, 12,409.12 and 5,215.24

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Solution

The fourth proportional to 8,992.86, 12,409.12 and 5,215.24 is: 7,196.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,992.86 : 12,409.12 = 5,215.24 : x
  2. Step 2: Convert to fraction form
    8,992.86/12,409.12 = 5,215.24/x
  3. Step 3: Cross multiply
    8,992.86x = 12,409.12 × 5,215.24
  4. Step 4: Simplify right side
    8,992.86x = 64,716,538.99
  5. Step 5: Solve for x
    x = 64,716,538.99/8,992.86
  6. Step 6: Final answer
    x = 7,196.44

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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.