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Finding the Fourth Proportional to 3,430.82, 4,734.55 and 1,858.91

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Solution

The fourth proportional to 3,430.82, 4,734.55 and 1,858.91 is: 2,565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.82 : 4,734.55 = 1,858.91 : x
  2. Step 2: Convert to fraction form
    3,430.82/4,734.55 = 1,858.91/x
  3. Step 3: Cross multiply
    3,430.82x = 4,734.55 × 1,858.91
  4. Step 4: Simplify right side
    3,430.82x = 8,801,101.61
  5. Step 5: Solve for x
    x = 8,801,101.61/3,430.82
  6. Step 6: Final answer
    x = 2,565.31

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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.