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Finding the Fourth Proportional to 2,657.70, 3,671.36 and 2,130.09

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Solution

The fourth proportional to 2,657.70, 3,671.36 and 2,130.09 is: 2,942.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.70 : 3,671.36 = 2,130.09 : x
  2. Step 2: Convert to fraction form
    2,657.70/3,671.36 = 2,130.09/x
  3. Step 3: Cross multiply
    2,657.70x = 3,671.36 × 2,130.09
  4. Step 4: Simplify right side
    2,657.70x = 7,820,327.22
  5. Step 5: Solve for x
    x = 7,820,327.22/2,657.70
  6. Step 6: Final answer
    x = 2,942.52

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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.