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Finding the Fourth Proportional to 13,861.69, 19,129.13 and 7,574.11

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Solution

The fourth proportional to 13,861.69, 19,129.13 and 7,574.11 is: 10,452.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,861.69 : 19,129.13 = 7,574.11 : x
  2. Step 2: Convert to fraction form
    13,861.69/19,129.13 = 7,574.11/x
  3. Step 3: Cross multiply
    13,861.69x = 19,129.13 × 7,574.11
  4. Step 4: Simplify right side
    13,861.69x = 144,886,134.82
  5. Step 5: Solve for x
    x = 144,886,134.82/13,861.69
  6. Step 6: Final answer
    x = 10,452.27

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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.