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Finding the Fourth Proportional to 13,792.10, 19,034.49 and 8,128.59

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Solution

The fourth proportional to 13,792.10, 19,034.49 and 8,128.59 is: 11,218.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.10 : 19,034.49 = 8,128.59 : x
  2. Step 2: Convert to fraction form
    13,792.10/19,034.49 = 8,128.59/x
  3. Step 3: Cross multiply
    13,792.10x = 19,034.49 × 8,128.59
  4. Step 4: Simplify right side
    13,792.10x = 154,723,565.07
  5. Step 5: Solve for x
    x = 154,723,565.07/13,792.10
  6. Step 6: Final answer
    x = 11,218.28

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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.