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Finding the Fourth Proportional to 7,778.34, 10,744.92 and 7,490.34

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Solution

The fourth proportional to 7,778.34, 10,744.92 and 7,490.34 is: 10,347.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.34 : 10,744.92 = 7,490.34 : x
  2. Step 2: Convert to fraction form
    7,778.34/10,744.92 = 7,490.34/x
  3. Step 3: Cross multiply
    7,778.34x = 10,744.92 × 7,490.34
  4. Step 4: Simplify right side
    7,778.34x = 80,483,104.07
  5. Step 5: Solve for x
    x = 80,483,104.07/7,778.34
  6. Step 6: Final answer
    x = 10,347.08

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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.