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Finding the Fourth Proportional to 2,888.42, 3,985.81 and 1,693.22

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Solution

The fourth proportional to 2,888.42, 3,985.81 and 1,693.22 is: 2,336.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.42 : 3,985.81 = 1,693.22 : x
  2. Step 2: Convert to fraction form
    2,888.42/3,985.81 = 1,693.22/x
  3. Step 3: Cross multiply
    2,888.42x = 3,985.81 × 1,693.22
  4. Step 4: Simplify right side
    2,888.42x = 6,748,853.21
  5. Step 5: Solve for x
    x = 6,748,853.21/2,888.42
  6. Step 6: Final answer
    x = 2,336.52

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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.