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Finding the Fourth Proportional to 13,789, 19,022.92 and 10,792.81

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Solution

The fourth proportional to 13,789, 19,022.92 and 10,792.81 is: 14,889.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,789 : 19,022.92 = 10,792.81 : x
  2. Step 2: Convert to fraction form
    13,789/19,022.92 = 10,792.81/x
  3. Step 3: Cross multiply
    13,789x = 19,022.92 × 10,792.81
  4. Step 4: Simplify right side
    13,789x = 205,310,761.21
  5. Step 5: Solve for x
    x = 205,310,761.21/13,789
  6. Step 6: Final answer
    x = 14,889.46

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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.