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Finding the Fourth Proportional to 2,071.78, 2,859.08 and 1,187.58

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Solution

The fourth proportional to 2,071.78, 2,859.08 and 1,187.58 is: 1,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.78 : 2,859.08 = 1,187.58 : x
  2. Step 2: Convert to fraction form
    2,071.78/2,859.08 = 1,187.58/x
  3. Step 3: Cross multiply
    2,071.78x = 2,859.08 × 1,187.58
  4. Step 4: Simplify right side
    2,071.78x = 3,395,386.62
  5. Step 5: Solve for x
    x = 3,395,386.62/2,071.78
  6. Step 6: Final answer
    x = 1,638.87

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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.