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Finding the Fourth Proportional to 15,122.70, 20,868.30 and 8,407.80

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Solution

The fourth proportional to 15,122.70, 20,868.30 and 8,407.80 is: 11,602.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,122.70 : 20,868.30 = 8,407.80 : x
  2. Step 2: Convert to fraction form
    15,122.70/20,868.30 = 8,407.80/x
  3. Step 3: Cross multiply
    15,122.70x = 20,868.30 × 8,407.80
  4. Step 4: Simplify right side
    15,122.70x = 175,456,492.74
  5. Step 5: Solve for x
    x = 175,456,492.74/15,122.70
  6. Step 6: Final answer
    x = 11,602.19

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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.