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Finding the Fourth Proportional to 9,991.84, 14,967.24 and 4,731.70

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Solution

The fourth proportional to 9,991.84, 14,967.24 and 4,731.70 is: 7,087.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.84 : 14,967.24 = 4,731.70 : x
  2. Step 2: Convert to fraction form
    9,991.84/14,967.24 = 4,731.70/x
  3. Step 3: Cross multiply
    9,991.84x = 14,967.24 × 4,731.70
  4. Step 4: Simplify right side
    9,991.84x = 70,820,489.51
  5. Step 5: Solve for x
    x = 70,820,489.51/9,991.84
  6. Step 6: Final answer
    x = 7,087.83

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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.