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Finding the Fourth Proportional to 3,875.76, 5,343.54 and 3,166.86

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Solution

The fourth proportional to 3,875.76, 5,343.54 and 3,166.86 is: 4,366.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.76 : 5,343.54 = 3,166.86 : x
  2. Step 2: Convert to fraction form
    3,875.76/5,343.54 = 3,166.86/x
  3. Step 3: Cross multiply
    3,875.76x = 5,343.54 × 3,166.86
  4. Step 4: Simplify right side
    3,875.76x = 16,922,243.08
  5. Step 5: Solve for x
    x = 16,922,243.08/3,875.76
  6. Step 6: Final answer
    x = 4,366.17

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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.