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Finding the Fourth Proportional to 5,154.06, 7,669.10 and 5,136.78

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Solution

The fourth proportional to 5,154.06, 7,669.10 and 5,136.78 is: 7,643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.06 : 7,669.10 = 5,136.78 : x
  2. Step 2: Convert to fraction form
    5,154.06/7,669.10 = 5,136.78/x
  3. Step 3: Cross multiply
    5,154.06x = 7,669.10 × 5,136.78
  4. Step 4: Simplify right side
    5,154.06x = 39,394,453.81
  5. Step 5: Solve for x
    x = 39,394,453.81/5,154.06
  6. Step 6: Final answer
    x = 7,643.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.