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Finding the Fourth Proportional to 2,149.81, 2,966.29 and 1,404.86

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Solution

The fourth proportional to 2,149.81, 2,966.29 and 1,404.86 is: 1,938.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.81 : 2,966.29 = 1,404.86 : x
  2. Step 2: Convert to fraction form
    2,149.81/2,966.29 = 1,404.86/x
  3. Step 3: Cross multiply
    2,149.81x = 2,966.29 × 1,404.86
  4. Step 4: Simplify right side
    2,149.81x = 4,167,220.51
  5. Step 5: Solve for x
    x = 4,167,220.51/2,149.81
  6. Step 6: Final answer
    x = 1,938.42

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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.