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Finding the Fourth Proportional to 5,336.40, 8,005.80 and 1,638.80

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Solution

The fourth proportional to 5,336.40, 8,005.80 and 1,638.80 is: 2,458.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.40 : 8,005.80 = 1,638.80 : x
  2. Step 2: Convert to fraction form
    5,336.40/8,005.80 = 1,638.80/x
  3. Step 3: Cross multiply
    5,336.40x = 8,005.80 × 1,638.80
  4. Step 4: Simplify right side
    5,336.40x = 13,119,905.04
  5. Step 5: Solve for x
    x = 13,119,905.04/5,336.40
  6. Step 6: Final answer
    x = 2,458.57

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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.