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Finding the Fourth Proportional to 1,703.61, 2,357.73 and 1,662.71

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Solution

The fourth proportional to 1,703.61, 2,357.73 and 1,662.71 is: 2,301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.61 : 2,357.73 = 1,662.71 : x
  2. Step 2: Convert to fraction form
    1,703.61/2,357.73 = 1,662.71/x
  3. Step 3: Cross multiply
    1,703.61x = 2,357.73 × 1,662.71
  4. Step 4: Simplify right side
    1,703.61x = 3,920,221.25
  5. Step 5: Solve for x
    x = 3,920,221.25/1,703.61
  6. Step 6: Final answer
    x = 2,301.13

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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.