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Finding the Fourth Proportional to 6,466.62, 9,698.16 and 1,785.51

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Solution

The fourth proportional to 6,466.62, 9,698.16 and 1,785.51 is: 2,677.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.62 : 9,698.16 = 1,785.51 : x
  2. Step 2: Convert to fraction form
    6,466.62/9,698.16 = 1,785.51/x
  3. Step 3: Cross multiply
    6,466.62x = 9,698.16 × 1,785.51
  4. Step 4: Simplify right side
    6,466.62x = 17,316,161.66
  5. Step 5: Solve for x
    x = 17,316,161.66/6,466.62
  6. Step 6: Final answer
    x = 2,677.78

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1.5x scale

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.