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Finding the Fourth Proportional to 14,452, 19,943.76 and 7,828

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Solution

The fourth proportional to 14,452, 19,943.76 and 7,828 is: 10,802.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,452 : 19,943.76 = 7,828 : x
  2. Step 2: Convert to fraction form
    14,452/19,943.76 = 7,828/x
  3. Step 3: Cross multiply
    14,452x = 19,943.76 × 7,828
  4. Step 4: Simplify right side
    14,452x = 156,119,753.28
  5. Step 5: Solve for x
    x = 156,119,753.28/14,452
  6. Step 6: Final answer
    x = 10,802.64

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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.