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Finding the Fourth Proportional to 5,214.62, 7,829.72 and 5,136.78

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Solution

The fourth proportional to 5,214.62, 7,829.72 and 5,136.78 is: 7,712.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.62 : 7,829.72 = 5,136.78 : x
  2. Step 2: Convert to fraction form
    5,214.62/7,829.72 = 5,136.78/x
  3. Step 3: Cross multiply
    5,214.62x = 7,829.72 × 5,136.78
  4. Step 4: Simplify right side
    5,214.62x = 40,219,549.10
  5. Step 5: Solve for x
    x = 40,219,549.10/5,214.62
  6. Step 6: Final answer
    x = 7,712.84

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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.