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Finding the Fourth Proportional to 15,382.66, 21,228.08 and 8,309.08

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Solution

The fourth proportional to 15,382.66, 21,228.08 and 8,309.08 is: 11,466.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,382.66 : 21,228.08 = 8,309.08 : x
  2. Step 2: Convert to fraction form
    15,382.66/21,228.08 = 8,309.08/x
  3. Step 3: Cross multiply
    15,382.66x = 21,228.08 × 8,309.08
  4. Step 4: Simplify right side
    15,382.66x = 176,385,720.35
  5. Step 5: Solve for x
    x = 176,385,720.35/15,382.66
  6. Step 6: Final answer
    x = 11,466.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.