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Finding the Fourth Proportional to 5,742.01, 8,613.06 and 3,143.53

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Solution

The fourth proportional to 5,742.01, 8,613.06 and 3,143.53 is: 4,715.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.01 : 8,613.06 = 3,143.53 : x
  2. Step 2: Convert to fraction form
    5,742.01/8,613.06 = 3,143.53/x
  3. Step 3: Cross multiply
    5,742.01x = 8,613.06 × 3,143.53
  4. Step 4: Simplify right side
    5,742.01x = 27,075,412.50
  5. Step 5: Solve for x
    x = 27,075,412.50/5,742.01
  6. Step 6: Final answer
    x = 4,715.32

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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.