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Finding the Fourth Proportional to 7,728.98, 10,668.45 and 4,705.74

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Solution

The fourth proportional to 7,728.98, 10,668.45 and 4,705.74 is: 6,495.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.98 : 10,668.45 = 4,705.74 : x
  2. Step 2: Convert to fraction form
    7,728.98/10,668.45 = 4,705.74/x
  3. Step 3: Cross multiply
    7,728.98x = 10,668.45 × 4,705.74
  4. Step 4: Simplify right side
    7,728.98x = 50,202,951.90
  5. Step 5: Solve for x
    x = 50,202,951.90/7,728.98
  6. Step 6: Final answer
    x = 6,495.42

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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.