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Finding the Fourth Proportional to 6,118.86, 9,178.90 and 1,957.82

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Solution

The fourth proportional to 6,118.86, 9,178.90 and 1,957.82 is: 2,936.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,118.86 : 9,178.90 = 1,957.82 : x
  2. Step 2: Convert to fraction form
    6,118.86/9,178.90 = 1,957.82/x
  3. Step 3: Cross multiply
    6,118.86x = 9,178.90 × 1,957.82
  4. Step 4: Simplify right side
    6,118.86x = 17,970,652.05
  5. Step 5: Solve for x
    x = 17,970,652.05/6,118.86
  6. Step 6: Final answer
    x = 2,936.93

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1.5x scale

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.