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Finding the Fourth Proportional to 6,900, 10,345.68 and 4,557.12

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Solution

The fourth proportional to 6,900, 10,345.68 and 4,557.12 is: 6,832.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900 : 10,345.68 = 4,557.12 : x
  2. Step 2: Convert to fraction form
    6,900/10,345.68 = 4,557.12/x
  3. Step 3: Cross multiply
    6,900x = 10,345.68 × 4,557.12
  4. Step 4: Simplify right side
    6,900x = 47,146,505.24
  5. Step 5: Solve for x
    x = 47,146,505.24/6,900
  6. Step 6: Final answer
    x = 6,832.83

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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.