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Finding the Fourth Proportional to 9,378.06, 14,054.67 and 4,986.06

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Solution

The fourth proportional to 9,378.06, 14,054.67 and 4,986.06 is: 7,472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.06 : 14,054.67 = 4,986.06 : x
  2. Step 2: Convert to fraction form
    9,378.06/14,054.67 = 4,986.06/x
  3. Step 3: Cross multiply
    9,378.06x = 14,054.67 × 4,986.06
  4. Step 4: Simplify right side
    9,378.06x = 70,077,427.90
  5. Step 5: Solve for x
    x = 70,077,427.90/9,378.06
  6. Step 6: Final answer
    x = 7,472.49

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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.