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Finding the Fourth Proportional to 2,071.70, 2,859 and 1,187.54

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Solution

The fourth proportional to 2,071.70, 2,859 and 1,187.54 is: 1,638.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.70 : 2,859 = 1,187.54 : x
  2. Step 2: Convert to fraction form
    2,071.70/2,859 = 1,187.54/x
  3. Step 3: Cross multiply
    2,071.70x = 2,859 × 1,187.54
  4. Step 4: Simplify right side
    2,071.70x = 3,395,176.86
  5. Step 5: Solve for x
    x = 3,395,176.86/2,071.70
  6. Step 6: Final answer
    x = 1,638.84

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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.