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Finding the Fourth Proportional to 9,986.64, 14,980.02 and 4,438.68

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Solution

The fourth proportional to 9,986.64, 14,980.02 and 4,438.68 is: 6,658.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.64 : 14,980.02 = 4,438.68 : x
  2. Step 2: Convert to fraction form
    9,986.64/14,980.02 = 4,438.68/x
  3. Step 3: Cross multiply
    9,986.64x = 14,980.02 × 4,438.68
  4. Step 4: Simplify right side
    9,986.64x = 66,491,515.17
  5. Step 5: Solve for x
    x = 66,491,515.17/9,986.64
  6. Step 6: Final answer
    x = 6,658.05

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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.