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Finding the Fourth Proportional to 9,992.94, 14,989.76 and 2,972.77

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Solution

The fourth proportional to 9,992.94, 14,989.76 and 2,972.77 is: 4,459.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.94 : 14,989.76 = 2,972.77 : x
  2. Step 2: Convert to fraction form
    9,992.94/14,989.76 = 2,972.77/x
  3. Step 3: Cross multiply
    9,992.94x = 14,989.76 × 2,972.77
  4. Step 4: Simplify right side
    9,992.94x = 44,561,067.64
  5. Step 5: Solve for x
    x = 44,561,067.64/9,992.94
  6. Step 6: Final answer
    x = 4,459.26

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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.