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Finding the Fourth Proportional to 9,986.28, 14,978.68 and 3,417.08

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Solution

The fourth proportional to 9,986.28, 14,978.68 and 3,417.08 is: 5,125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.28 : 14,978.68 = 3,417.08 : x
  2. Step 2: Convert to fraction form
    9,986.28/14,978.68 = 3,417.08/x
  3. Step 3: Cross multiply
    9,986.28x = 14,978.68 × 3,417.08
  4. Step 4: Simplify right side
    9,986.28x = 51,183,347.85
  5. Step 5: Solve for x
    x = 51,183,347.85/9,986.28
  6. Step 6: Final answer
    x = 5,125.37

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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.