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Finding the Fourth Proportional to 5,742.72, 8,614.08 and 1,638.72

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Solution

The fourth proportional to 5,742.72, 8,614.08 and 1,638.72 is: 2,458.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.72 : 8,614.08 = 1,638.72 : x
  2. Step 2: Convert to fraction form
    5,742.72/8,614.08 = 1,638.72/x
  3. Step 3: Cross multiply
    5,742.72x = 8,614.08 × 1,638.72
  4. Step 4: Simplify right side
    5,742.72x = 14,116,065.18
  5. Step 5: Solve for x
    x = 14,116,065.18/5,742.72
  6. Step 6: Final answer
    x = 2,458.08

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Similar ratio
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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.