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Finding the Fourth Proportional to 15,892.12, 21,931.32 and 8,819.20

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Solution

The fourth proportional to 15,892.12, 21,931.32 and 8,819.20 is: 12,170.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892.12 : 21,931.32 = 8,819.20 : x
  2. Step 2: Convert to fraction form
    15,892.12/21,931.32 = 8,819.20/x
  3. Step 3: Cross multiply
    15,892.12x = 21,931.32 × 8,819.20
  4. Step 4: Simplify right side
    15,892.12x = 193,416,697.34
  5. Step 5: Solve for x
    x = 193,416,697.34/15,892.12
  6. Step 6: Final answer
    x = 12,170.60

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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.