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Finding the Fourth Proportional to 2,101.35, 2,900.09 and 1,576.47

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Solution

The fourth proportional to 2,101.35, 2,900.09 and 1,576.47 is: 2,175.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.35 : 2,900.09 = 1,576.47 : x
  2. Step 2: Convert to fraction form
    2,101.35/2,900.09 = 1,576.47/x
  3. Step 3: Cross multiply
    2,101.35x = 2,900.09 × 1,576.47
  4. Step 4: Simplify right side
    2,101.35x = 4,571,910.83
  5. Step 5: Solve for x
    x = 4,571,910.83/2,101.35
  6. Step 6: Final answer
    x = 2,175.70

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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.