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Finding the Fourth Proportional to 14,792, 20,413 and 8,077.64

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Solution

The fourth proportional to 14,792, 20,413 and 8,077.64 is: 11,147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,792 : 20,413 = 8,077.64 : x
  2. Step 2: Convert to fraction form
    14,792/20,413 = 8,077.64/x
  3. Step 3: Cross multiply
    14,792x = 20,413 × 8,077.64
  4. Step 4: Simplify right side
    14,792x = 164,888,865.32
  5. Step 5: Solve for x
    x = 164,888,865.32/14,792
  6. Step 6: Final answer
    x = 11,147.17

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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.