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Finding the Fourth Proportional to 12,574.49, 18,861.89 and 5,457.08

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Solution

The fourth proportional to 12,574.49, 18,861.89 and 5,457.08 is: 8,185.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.49 : 18,861.89 = 5,457.08 : x
  2. Step 2: Convert to fraction form
    12,574.49/18,861.89 = 5,457.08/x
  3. Step 3: Cross multiply
    12,574.49x = 18,861.89 × 5,457.08
  4. Step 4: Simplify right side
    12,574.49x = 102,930,862.55
  5. Step 5: Solve for x
    x = 102,930,862.55/12,574.49
  6. Step 6: Final answer
    x = 8,185.69

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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.