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Finding the Fourth Proportional to 5,638.92, 7,783.89 and 5,048.43

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Solution

The fourth proportional to 5,638.92, 7,783.89 and 5,048.43 is: 6,968.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.92 : 7,783.89 = 5,048.43 : x
  2. Step 2: Convert to fraction form
    5,638.92/7,783.89 = 5,048.43/x
  3. Step 3: Cross multiply
    5,638.92x = 7,783.89 × 5,048.43
  4. Step 4: Simplify right side
    5,638.92x = 39,296,423.79
  5. Step 5: Solve for x
    x = 39,296,423.79/5,638.92
  6. Step 6: Final answer
    x = 6,968.79

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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.