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Finding the Fourth Proportional to 1,556.42, 2,145.88 and 995.88

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Solution

The fourth proportional to 1,556.42, 2,145.88 and 995.88 is: 1,373.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.42 : 2,145.88 = 995.88 : x
  2. Step 2: Convert to fraction form
    1,556.42/2,145.88 = 995.88/x
  3. Step 3: Cross multiply
    1,556.42x = 2,145.88 × 995.88
  4. Step 4: Simplify right side
    1,556.42x = 2,137,043.85
  5. Step 5: Solve for x
    x = 2,137,043.85/1,556.42
  6. Step 6: Final answer
    x = 1,373.06

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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.