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Finding the Fourth Proportional to 13,819, 19,070.28 and 7,531.48

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Solution

The fourth proportional to 13,819, 19,070.28 and 7,531.48 is: 10,393.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819 : 19,070.28 = 7,531.48 : x
  2. Step 2: Convert to fraction form
    13,819/19,070.28 = 7,531.48/x
  3. Step 3: Cross multiply
    13,819x = 19,070.28 × 7,531.48
  4. Step 4: Simplify right side
    13,819x = 143,627,432.41
  5. Step 5: Solve for x
    x = 143,627,432.41/13,819
  6. Step 6: Final answer
    x = 10,393.48

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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.