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Finding the Fourth Proportional to 7,981.78, 11,014.50 and 4,444.78

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Solution

The fourth proportional to 7,981.78, 11,014.50 and 4,444.78 is: 6,133.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,981.78 : 11,014.50 = 4,444.78 : x
  2. Step 2: Convert to fraction form
    7,981.78/11,014.50 = 4,444.78/x
  3. Step 3: Cross multiply
    7,981.78x = 11,014.50 × 4,444.78
  4. Step 4: Simplify right side
    7,981.78x = 48,957,029.31
  5. Step 5: Solve for x
    x = 48,957,029.31/7,981.78
  6. Step 6: Final answer
    x = 6,133.60

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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.