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Finding the Fourth Proportional to 4,209.55, 6,328.16 and 3,905.08

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Solution

The fourth proportional to 4,209.55, 6,328.16 and 3,905.08 is: 5,870.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.55 : 6,328.16 = 3,905.08 : x
  2. Step 2: Convert to fraction form
    4,209.55/6,328.16 = 3,905.08/x
  3. Step 3: Cross multiply
    4,209.55x = 6,328.16 × 3,905.08
  4. Step 4: Simplify right side
    4,209.55x = 24,711,939.41
  5. Step 5: Solve for x
    x = 24,711,939.41/4,209.55
  6. Step 6: Final answer
    x = 5,870.45

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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.