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Finding the Fourth Proportional to 9,986.32, 14,959.32 and 9,169.84

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Solution

The fourth proportional to 9,986.32, 14,959.32 and 9,169.84 is: 13,736.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.32 : 14,959.32 = 9,169.84 : x
  2. Step 2: Convert to fraction form
    9,986.32/14,959.32 = 9,169.84/x
  3. Step 3: Cross multiply
    9,986.32x = 14,959.32 × 9,169.84
  4. Step 4: Simplify right side
    9,986.32x = 137,174,570.91
  5. Step 5: Solve for x
    x = 137,174,570.91/9,986.32
  6. Step 6: Final answer
    x = 13,736.25

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1.5x scale

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.