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Finding the Fourth Proportional to 13,802.68, 19,044.46 and 7,833

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Solution

The fourth proportional to 13,802.68, 19,044.46 and 7,833 is: 10,807.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.68 : 19,044.46 = 7,833 : x
  2. Step 2: Convert to fraction form
    13,802.68/19,044.46 = 7,833/x
  3. Step 3: Cross multiply
    13,802.68x = 19,044.46 × 7,833
  4. Step 4: Simplify right side
    13,802.68x = 149,175,255.18
  5. Step 5: Solve for x
    x = 149,175,255.18/13,802.68
  6. Step 6: Final answer
    x = 10,807.70

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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.