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Finding the Fourth Proportional to 5,136, 7,087.24 and 2,867.13

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Solution

The fourth proportional to 5,136, 7,087.24 and 2,867.13 is: 3,956.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136 : 7,087.24 = 2,867.13 : x
  2. Step 2: Convert to fraction form
    5,136/7,087.24 = 2,867.13/x
  3. Step 3: Cross multiply
    5,136x = 7,087.24 × 2,867.13
  4. Step 4: Simplify right side
    5,136x = 20,320,038.42
  5. Step 5: Solve for x
    x = 20,320,038.42/5,136
  6. Step 6: Final answer
    x = 3,956.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.