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Finding the Fourth Proportional to 15,209.40, 20,966.94 and 9,895.80

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Solution

The fourth proportional to 15,209.40, 20,966.94 and 9,895.80 is: 13,641.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,209.40 : 20,966.94 = 9,895.80 : x
  2. Step 2: Convert to fraction form
    15,209.40/20,966.94 = 9,895.80/x
  3. Step 3: Cross multiply
    15,209.40x = 20,966.94 × 9,895.80
  4. Step 4: Simplify right side
    15,209.40x = 207,484,644.85
  5. Step 5: Solve for x
    x = 207,484,644.85/15,209.40
  6. Step 6: Final answer
    x = 13,641.87

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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.