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Finding the Fourth Proportional to 10,158.84, 15,235.74 and 6,892.20

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Solution

The fourth proportional to 10,158.84, 15,235.74 and 6,892.20 is: 10,336.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158.84 : 15,235.74 = 6,892.20 : x
  2. Step 2: Convert to fraction form
    10,158.84/15,235.74 = 6,892.20/x
  3. Step 3: Cross multiply
    10,158.84x = 15,235.74 × 6,892.20
  4. Step 4: Simplify right side
    10,158.84x = 105,007,767.23
  5. Step 5: Solve for x
    x = 105,007,767.23/10,158.84
  6. Step 6: Final answer
    x = 10,336.59

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