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Finding the Fourth Proportional to 7,849, 10,833.60 and 4,492.86

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Solution

The fourth proportional to 7,849, 10,833.60 and 4,492.86 is: 6,201.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849 : 10,833.60 = 4,492.86 : x
  2. Step 2: Convert to fraction form
    7,849/10,833.60 = 4,492.86/x
  3. Step 3: Cross multiply
    7,849x = 10,833.60 × 4,492.86
  4. Step 4: Simplify right side
    7,849x = 48,673,848.10
  5. Step 5: Solve for x
    x = 48,673,848.10/7,849
  6. Step 6: Final answer
    x = 6,201.28

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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.