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Finding the Fourth Proportional to 12,894.16, 19,341.60 and 4,135.60

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Solution

The fourth proportional to 12,894.16, 19,341.60 and 4,135.60 is: 6,203.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.16 : 19,341.60 = 4,135.60 : x
  2. Step 2: Convert to fraction form
    12,894.16/19,341.60 = 4,135.60/x
  3. Step 3: Cross multiply
    12,894.16x = 19,341.60 × 4,135.60
  4. Step 4: Simplify right side
    12,894.16x = 79,989,120.96
  5. Step 5: Solve for x
    x = 79,989,120.96/12,894.16
  6. Step 6: Final answer
    x = 6,203.52

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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.