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Finding the Fourth Proportional to 6,722.65, 9,279.76 and 5,774.63

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Solution

The fourth proportional to 6,722.65, 9,279.76 and 5,774.63 is: 7,971.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.65 : 9,279.76 = 5,774.63 : x
  2. Step 2: Convert to fraction form
    6,722.65/9,279.76 = 5,774.63/x
  3. Step 3: Cross multiply
    6,722.65x = 9,279.76 × 5,774.63
  4. Step 4: Simplify right side
    6,722.65x = 53,587,180.49
  5. Step 5: Solve for x
    x = 53,587,180.49/6,722.65
  6. Step 6: Final answer
    x = 7,971.15

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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.