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Finding the Fourth Proportional to 1,703.68, 2,351.28 and 995.68

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Solution

The fourth proportional to 1,703.68, 2,351.28 and 995.68 is: 1,374.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.68 : 2,351.28 = 995.68 : x
  2. Step 2: Convert to fraction form
    1,703.68/2,351.28 = 995.68/x
  3. Step 3: Cross multiply
    1,703.68x = 2,351.28 × 995.68
  4. Step 4: Simplify right side
    1,703.68x = 2,341,122.47
  5. Step 5: Solve for x
    x = 2,341,122.47/1,703.68
  6. Step 6: Final answer
    x = 1,374.16

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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.