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Finding the Fourth Proportional to 15,210.86, 20,965.86 and 10,173.20

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Solution

The fourth proportional to 15,210.86, 20,965.86 and 10,173.20 is: 14,022.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,210.86 : 20,965.86 = 10,173.20 : x
  2. Step 2: Convert to fraction form
    15,210.86/20,965.86 = 10,173.20/x
  3. Step 3: Cross multiply
    15,210.86x = 20,965.86 × 10,173.20
  4. Step 4: Simplify right side
    15,210.86x = 213,289,886.95
  5. Step 5: Solve for x
    x = 213,289,886.95/15,210.86
  6. Step 6: Final answer
    x = 14,022.21

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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.