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Finding the Fourth Proportional to 2,646.66, 3,970.80 and 1,671.42

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Solution

The fourth proportional to 2,646.66, 3,970.80 and 1,671.42 is: 2,507.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.66 : 3,970.80 = 1,671.42 : x
  2. Step 2: Convert to fraction form
    2,646.66/3,970.80 = 1,671.42/x
  3. Step 3: Cross multiply
    2,646.66x = 3,970.80 × 1,671.42
  4. Step 4: Simplify right side
    2,646.66x = 6,636,874.54
  5. Step 5: Solve for x
    x = 6,636,874.54/2,646.66
  6. Step 6: Final answer
    x = 2,507.64

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1.5x scale

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.