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Finding the Fourth Proportional to 13,866.84, 19,136.34 and 7,579.80

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Solution

The fourth proportional to 13,866.84, 19,136.34 and 7,579.80 is: 10,460.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.84 : 19,136.34 = 7,579.80 : x
  2. Step 2: Convert to fraction form
    13,866.84/19,136.34 = 7,579.80/x
  3. Step 3: Cross multiply
    13,866.84x = 19,136.34 × 7,579.80
  4. Step 4: Simplify right side
    13,866.84x = 145,049,629.93
  5. Step 5: Solve for x
    x = 145,049,629.93/13,866.84
  6. Step 6: Final answer
    x = 10,460.18

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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.