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Finding the Fourth Proportional to 13,802.42, 19,044.74 and 8,138.95

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Solution

The fourth proportional to 13,802.42, 19,044.74 and 8,138.95 is: 11,230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.42 : 19,044.74 = 8,138.95 : x
  2. Step 2: Convert to fraction form
    13,802.42/19,044.74 = 8,138.95/x
  3. Step 3: Cross multiply
    13,802.42x = 19,044.74 × 8,138.95
  4. Step 4: Simplify right side
    13,802.42x = 155,004,159.36
  5. Step 5: Solve for x
    x = 155,004,159.36/13,802.42
  6. Step 6: Final answer
    x = 11,230.21

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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.