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Finding the Fourth Proportional to 2,784.29, 3,842.25 and 1,605.47

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Solution

The fourth proportional to 2,784.29, 3,842.25 and 1,605.47 is: 2,215.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.29 : 3,842.25 = 1,605.47 : x
  2. Step 2: Convert to fraction form
    2,784.29/3,842.25 = 1,605.47/x
  3. Step 3: Cross multiply
    2,784.29x = 3,842.25 × 1,605.47
  4. Step 4: Simplify right side
    2,784.29x = 6,168,617.11
  5. Step 5: Solve for x
    x = 6,168,617.11/2,784.29
  6. Step 6: Final answer
    x = 2,215.51

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1.5x scale

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.