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Finding the Fourth Proportional to 4,561.78, 6,845.70 and 1,640.08

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Solution

The fourth proportional to 4,561.78, 6,845.70 and 1,640.08 is: 2,461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.78 : 6,845.70 = 1,640.08 : x
  2. Step 2: Convert to fraction form
    4,561.78/6,845.70 = 1,640.08/x
  3. Step 3: Cross multiply
    4,561.78x = 6,845.70 × 1,640.08
  4. Step 4: Simplify right side
    4,561.78x = 11,227,495.66
  5. Step 5: Solve for x
    x = 11,227,495.66/4,561.78
  6. Step 6: Final answer
    x = 2,461.21

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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.