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Finding the Fourth Proportional to 9,992.32, 14,991.40 and 2,972.40

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Solution

The fourth proportional to 9,992.32, 14,991.40 and 2,972.40 is: 4,459.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.32 : 14,991.40 = 2,972.40 : x
  2. Step 2: Convert to fraction form
    9,992.32/14,991.40 = 2,972.40/x
  3. Step 3: Cross multiply
    9,992.32x = 14,991.40 × 2,972.40
  4. Step 4: Simplify right side
    9,992.32x = 44,560,437.36
  5. Step 5: Solve for x
    x = 44,560,437.36/9,992.32
  6. Step 6: Final answer
    x = 4,459.47

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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.