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Finding the Fourth Proportional to 13,328.74, 19,978.53 and 8,400.70

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Solution

The fourth proportional to 13,328.74, 19,978.53 and 8,400.70 is: 12,591.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,328.74 : 19,978.53 = 8,400.70 : x
  2. Step 2: Convert to fraction form
    13,328.74/19,978.53 = 8,400.70/x
  3. Step 3: Cross multiply
    13,328.74x = 19,978.53 × 8,400.70
  4. Step 4: Simplify right side
    13,328.74x = 167,833,636.97
  5. Step 5: Solve for x
    x = 167,833,636.97/13,328.74
  6. Step 6: Final answer
    x = 12,591.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.