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Finding the Fourth Proportional to 7,122.66, 9,829.73 and 3,978.86

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Solution

The fourth proportional to 7,122.66, 9,829.73 and 3,978.86 is: 5,491.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.66 : 9,829.73 = 3,978.86 : x
  2. Step 2: Convert to fraction form
    7,122.66/9,829.73 = 3,978.86/x
  3. Step 3: Cross multiply
    7,122.66x = 9,829.73 × 3,978.86
  4. Step 4: Simplify right side
    7,122.66x = 39,111,050.46
  5. Step 5: Solve for x
    x = 39,111,050.46/7,122.66
  6. Step 6: Final answer
    x = 5,491.07

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1.5x scale

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.