Home / 2,102.14-3,152.13-1,270.78

Finding the Fourth Proportional to 2,102.14, 3,152.13 and 1,270.78

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Solution

The fourth proportional to 2,102.14, 3,152.13 and 1,270.78 is: 1,905.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.14 : 3,152.13 = 1,270.78 : x
  2. Step 2: Convert to fraction form
    2,102.14/3,152.13 = 1,270.78/x
  3. Step 3: Cross multiply
    2,102.14x = 3,152.13 × 1,270.78
  4. Step 4: Simplify right side
    2,102.14x = 4,005,663.76
  5. Step 5: Solve for x
    x = 4,005,663.76/2,102.14
  6. Step 6: Final answer
    x = 1,905.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.