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Finding the Fourth Proportional to 9,991, 14,986.50 and 3,065.50

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Solution

The fourth proportional to 9,991, 14,986.50 and 3,065.50 is: 4,598.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991 : 14,986.50 = 3,065.50 : x
  2. Step 2: Convert to fraction form
    9,991/14,986.50 = 3,065.50/x
  3. Step 3: Cross multiply
    9,991x = 14,986.50 × 3,065.50
  4. Step 4: Simplify right side
    9,991x = 45,941,115.75
  5. Step 5: Solve for x
    x = 45,941,115.75/9,991
  6. Step 6: Final answer
    x = 4,598.25

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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.