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Finding the Fourth Proportional to 7,774.50, 10,728.78 and 4,237.70

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Solution

The fourth proportional to 7,774.50, 10,728.78 and 4,237.70 is: 5,848.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.50 : 10,728.78 = 4,237.70 : x
  2. Step 2: Convert to fraction form
    7,774.50/10,728.78 = 4,237.70/x
  3. Step 3: Cross multiply
    7,774.50x = 10,728.78 × 4,237.70
  4. Step 4: Simplify right side
    7,774.50x = 45,465,351.01
  5. Step 5: Solve for x
    x = 45,465,351.01/7,774.50
  6. Step 6: Final answer
    x = 5,848.01

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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.