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Finding the Fourth Proportional to 2,129.86, 2,938.30 and 1,220.89

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Solution

The fourth proportional to 2,129.86, 2,938.30 and 1,220.89 is: 1,684.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.86 : 2,938.30 = 1,220.89 : x
  2. Step 2: Convert to fraction form
    2,129.86/2,938.30 = 1,220.89/x
  3. Step 3: Cross multiply
    2,129.86x = 2,938.30 × 1,220.89
  4. Step 4: Simplify right side
    2,129.86x = 3,587,341.09
  5. Step 5: Solve for x
    x = 3,587,341.09/2,129.86
  6. Step 6: Final answer
    x = 1,684.31

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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.