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Finding the Fourth Proportional to 13,797.81, 19,034.51 and 8,490.69

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Solution

The fourth proportional to 13,797.81, 19,034.51 and 8,490.69 is: 11,713.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.81 : 19,034.51 = 8,490.69 : x
  2. Step 2: Convert to fraction form
    13,797.81/19,034.51 = 8,490.69/x
  3. Step 3: Cross multiply
    13,797.81x = 19,034.51 × 8,490.69
  4. Step 4: Simplify right side
    13,797.81x = 161,616,081.26
  5. Step 5: Solve for x
    x = 161,616,081.26/13,797.81
  6. Step 6: Final answer
    x = 11,713.17

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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.