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Finding the Fourth Proportional to 15,191.74, 20,969 and 8,819.76

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Solution

The fourth proportional to 15,191.74, 20,969 and 8,819.76 is: 12,173.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,191.74 : 20,969 = 8,819.76 : x
  2. Step 2: Convert to fraction form
    15,191.74/20,969 = 8,819.76/x
  3. Step 3: Cross multiply
    15,191.74x = 20,969 × 8,819.76
  4. Step 4: Simplify right side
    15,191.74x = 184,941,547.44
  5. Step 5: Solve for x
    x = 184,941,547.44/15,191.74
  6. Step 6: Final answer
    x = 12,173.82

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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.