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Finding the Fourth Proportional to 7,158, 9,879.12 and 4,365.12

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Solution

The fourth proportional to 7,158, 9,879.12 and 4,365.12 is: 6,024.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158 : 9,879.12 = 4,365.12 : x
  2. Step 2: Convert to fraction form
    7,158/9,879.12 = 4,365.12/x
  3. Step 3: Cross multiply
    7,158x = 9,879.12 × 4,365.12
  4. Step 4: Simplify right side
    7,158x = 43,123,544.29
  5. Step 5: Solve for x
    x = 43,123,544.29/7,158
  6. Step 6: Final answer
    x = 6,024.52

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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.