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Finding the Fourth Proportional to 13,978.17, 19,293.99 and 8,316.93

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Solution

The fourth proportional to 13,978.17, 19,293.99 and 8,316.93 is: 11,479.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.17 : 19,293.99 = 8,316.93 : x
  2. Step 2: Convert to fraction form
    13,978.17/19,293.99 = 8,316.93/x
  3. Step 3: Cross multiply
    13,978.17x = 19,293.99 × 8,316.93
  4. Step 4: Simplify right side
    13,978.17x = 160,466,764.25
  5. Step 5: Solve for x
    x = 160,466,764.25/13,978.17
  6. Step 6: Final answer
    x = 11,479.81

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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.