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Finding the Fourth Proportional to 6,289.80, 8,664.92 and 4,397.84

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Solution

The fourth proportional to 6,289.80, 8,664.92 and 4,397.84 is: 6,058.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.80 : 8,664.92 = 4,397.84 : x
  2. Step 2: Convert to fraction form
    6,289.80/8,664.92 = 4,397.84/x
  3. Step 3: Cross multiply
    6,289.80x = 8,664.92 × 4,397.84
  4. Step 4: Simplify right side
    6,289.80x = 38,106,988.92
  5. Step 5: Solve for x
    x = 38,106,988.92/6,289.80
  6. Step 6: Final answer
    x = 6,058.54

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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.