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Finding the Fourth Proportional to 6,414, 8,851.32 and 3,470

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Solution

The fourth proportional to 6,414, 8,851.32 and 3,470 is: 4,788.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414 : 8,851.32 = 3,470 : x
  2. Step 2: Convert to fraction form
    6,414/8,851.32 = 3,470/x
  3. Step 3: Cross multiply
    6,414x = 8,851.32 × 3,470
  4. Step 4: Simplify right side
    6,414x = 30,714,080.40
  5. Step 5: Solve for x
    x = 30,714,080.40/6,414
  6. Step 6: Final answer
    x = 4,788.60

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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.