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Finding the Fourth Proportional to 15,210, 20,990.25 and 8,495.91

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Solution

The fourth proportional to 15,210, 20,990.25 and 8,495.91 is: 11,724.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,210 : 20,990.25 = 8,495.91 : x
  2. Step 2: Convert to fraction form
    15,210/20,990.25 = 8,495.91/x
  3. Step 3: Cross multiply
    15,210x = 20,990.25 × 8,495.91
  4. Step 4: Simplify right side
    15,210x = 178,331,274.88
  5. Step 5: Solve for x
    x = 178,331,274.88/15,210
  6. Step 6: Final answer
    x = 11,724.61

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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.