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Finding the Fourth Proportional to 6,607.86, 9,913.86 and 3,978.24

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Solution

The fourth proportional to 6,607.86, 9,913.86 and 3,978.24 is: 5,968.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,607.86 : 9,913.86 = 3,978.24 : x
  2. Step 2: Convert to fraction form
    6,607.86/9,913.86 = 3,978.24/x
  3. Step 3: Cross multiply
    6,607.86x = 9,913.86 × 3,978.24
  4. Step 4: Simplify right side
    6,607.86x = 39,439,714.41
  5. Step 5: Solve for x
    x = 39,439,714.41/6,607.86
  6. Step 6: Final answer
    x = 5,968.61

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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.