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Finding the Fourth Proportional to 7,640.98, 10,544.74 and 4,283.64

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Solution

The fourth proportional to 7,640.98, 10,544.74 and 4,283.64 is: 5,911.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.98 : 10,544.74 = 4,283.64 : x
  2. Step 2: Convert to fraction form
    7,640.98/10,544.74 = 4,283.64/x
  3. Step 3: Cross multiply
    7,640.98x = 10,544.74 × 4,283.64
  4. Step 4: Simplify right side
    7,640.98x = 45,169,870.05
  5. Step 5: Solve for x
    x = 45,169,870.05/7,640.98
  6. Step 6: Final answer
    x = 5,911.53

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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.