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Finding the Fourth Proportional to 7,940, 10,957.20 and 4,403.76

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Solution

The fourth proportional to 7,940, 10,957.20 and 4,403.76 is: 6,077.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940 : 10,957.20 = 4,403.76 : x
  2. Step 2: Convert to fraction form
    7,940/10,957.20 = 4,403.76/x
  3. Step 3: Cross multiply
    7,940x = 10,957.20 × 4,403.76
  4. Step 4: Simplify right side
    7,940x = 48,252,879.07
  5. Step 5: Solve for x
    x = 48,252,879.07/7,940
  6. Step 6: Final answer
    x = 6,077.19

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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.