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Finding the Fourth Proportional to 2,142.67, 3,214.40 and 661.86

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Solution

The fourth proportional to 2,142.67, 3,214.40 and 661.86 is: 992.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.67 : 3,214.40 = 661.86 : x
  2. Step 2: Convert to fraction form
    2,142.67/3,214.40 = 661.86/x
  3. Step 3: Cross multiply
    2,142.67x = 3,214.40 × 661.86
  4. Step 4: Simplify right side
    2,142.67x = 2,127,482.78
  5. Step 5: Solve for x
    x = 2,127,482.78/2,142.67
  6. Step 6: Final answer
    x = 992.91

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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.