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Finding the Fourth Proportional to 2,492.10, 3,737.43 and 848.61

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Solution

The fourth proportional to 2,492.10, 3,737.43 and 848.61 is: 1,272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.10 : 3,737.43 = 848.61 : x
  2. Step 2: Convert to fraction form
    2,492.10/3,737.43 = 848.61/x
  3. Step 3: Cross multiply
    2,492.10x = 3,737.43 × 848.61
  4. Step 4: Simplify right side
    2,492.10x = 3,171,620.47
  5. Step 5: Solve for x
    x = 3,171,620.47/2,492.10
  6. Step 6: Final answer
    x = 1,272.67

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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.