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Finding the Fourth Proportional to 13,574.74, 18,736.10 and 7,910.42

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Solution

The fourth proportional to 13,574.74, 18,736.10 and 7,910.42 is: 10,918.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.74 : 18,736.10 = 7,910.42 : x
  2. Step 2: Convert to fraction form
    13,574.74/18,736.10 = 7,910.42/x
  3. Step 3: Cross multiply
    13,574.74x = 18,736.10 × 7,910.42
  4. Step 4: Simplify right side
    13,574.74x = 148,210,420.16
  5. Step 5: Solve for x
    x = 148,210,420.16/13,574.74
  6. Step 6: Final answer
    x = 10,918.10

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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.