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Finding the Fourth Proportional to 7,354.78, 10,149.57 and 4,210.96

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Solution

The fourth proportional to 7,354.78, 10,149.57 and 4,210.96 is: 5,811.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.78 : 10,149.57 = 4,210.96 : x
  2. Step 2: Convert to fraction form
    7,354.78/10,149.57 = 4,210.96/x
  3. Step 3: Cross multiply
    7,354.78x = 10,149.57 × 4,210.96
  4. Step 4: Simplify right side
    7,354.78x = 42,739,433.29
  5. Step 5: Solve for x
    x = 42,739,433.29/7,354.78
  6. Step 6: Final answer
    x = 5,811.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.