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Finding the Fourth Proportional to 2,784.51, 3,842.64 and 1,605.60

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Solution

The fourth proportional to 2,784.51, 3,842.64 and 1,605.60 is: 2,215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.51 : 3,842.64 = 1,605.60 : x
  2. Step 2: Convert to fraction form
    2,784.51/3,842.64 = 1,605.60/x
  3. Step 3: Cross multiply
    2,784.51x = 3,842.64 × 1,605.60
  4. Step 4: Simplify right side
    2,784.51x = 6,169,742.78
  5. Step 5: Solve for x
    x = 6,169,742.78/2,784.51
  6. Step 6: Final answer
    x = 2,215.74

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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.