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Finding the Fourth Proportional to 3,870.86, 5,349.39 and 3,438.86

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Solution

The fourth proportional to 3,870.86, 5,349.39 and 3,438.86 is: 4,752.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.86 : 5,349.39 = 3,438.86 : x
  2. Step 2: Convert to fraction form
    3,870.86/5,349.39 = 3,438.86/x
  3. Step 3: Cross multiply
    3,870.86x = 5,349.39 × 3,438.86
  4. Step 4: Simplify right side
    3,870.86x = 18,395,803.30
  5. Step 5: Solve for x
    x = 18,395,803.30/3,870.86
  6. Step 6: Final answer
    x = 4,752.38

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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.