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Finding the Fourth Proportional to 9,892.10, 14,850.30 and 9,819.20

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Solution

The fourth proportional to 9,892.10, 14,850.30 and 9,819.20 is: 14,740.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.10 : 14,850.30 = 9,819.20 : x
  2. Step 2: Convert to fraction form
    9,892.10/14,850.30 = 9,819.20/x
  3. Step 3: Cross multiply
    9,892.10x = 14,850.30 × 9,819.20
  4. Step 4: Simplify right side
    9,892.10x = 145,818,065.76
  5. Step 5: Solve for x
    x = 145,818,065.76/9,892.10
  6. Step 6: Final answer
    x = 14,740.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.