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Finding the Fourth Proportional to 2,842.54, 3,925.12 and 1,782.08

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Solution

The fourth proportional to 2,842.54, 3,925.12 and 1,782.08 is: 2,460.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.54 : 3,925.12 = 1,782.08 : x
  2. Step 2: Convert to fraction form
    2,842.54/3,925.12 = 1,782.08/x
  3. Step 3: Cross multiply
    2,842.54x = 3,925.12 × 1,782.08
  4. Step 4: Simplify right side
    2,842.54x = 6,994,893.77
  5. Step 5: Solve for x
    x = 6,994,893.77/2,842.54
  6. Step 6: Final answer
    x = 2,460.79

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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.