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Finding the Fourth Proportional to 7,728.78, 10,664.46 and 4,370.70

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Solution

The fourth proportional to 7,728.78, 10,664.46 and 4,370.70 is: 6,030.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.78 : 10,664.46 = 4,370.70 : x
  2. Step 2: Convert to fraction form
    7,728.78/10,664.46 = 4,370.70/x
  3. Step 3: Cross multiply
    7,728.78x = 10,664.46 × 4,370.70
  4. Step 4: Simplify right side
    7,728.78x = 46,611,155.32
  5. Step 5: Solve for x
    x = 46,611,155.32/7,728.78
  6. Step 6: Final answer
    x = 6,030.86

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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.