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Finding the Fourth Proportional to 4,984.86, 6,871.49 and 3,214.20

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Solution

The fourth proportional to 4,984.86, 6,871.49 and 3,214.20 is: 4,430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984.86 : 6,871.49 = 3,214.20 : x
  2. Step 2: Convert to fraction form
    4,984.86/6,871.49 = 3,214.20/x
  3. Step 3: Cross multiply
    4,984.86x = 6,871.49 × 3,214.20
  4. Step 4: Simplify right side
    4,984.86x = 22,086,343.16
  5. Step 5: Solve for x
    x = 22,086,343.16/4,984.86
  6. Step 6: Final answer
    x = 4,430.68

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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.