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Finding the Fourth Proportional to 4,562.89, 6,840.23 and 1,640.51

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Solution

The fourth proportional to 4,562.89, 6,840.23 and 1,640.51 is: 2,459.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.89 : 6,840.23 = 1,640.51 : x
  2. Step 2: Convert to fraction form
    4,562.89/6,840.23 = 1,640.51/x
  3. Step 3: Cross multiply
    4,562.89x = 6,840.23 × 1,640.51
  4. Step 4: Simplify right side
    4,562.89x = 11,221,465.72
  5. Step 5: Solve for x
    x = 11,221,465.72/4,562.89
  6. Step 6: Final answer
    x = 2,459.29

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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.