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Finding the Fourth Proportional to 7,504.70, 10,356.52 and 4,147.70

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Solution

The fourth proportional to 7,504.70, 10,356.52 and 4,147.70 is: 5,723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,504.70 : 10,356.52 = 4,147.70 : x
  2. Step 2: Convert to fraction form
    7,504.70/10,356.52 = 4,147.70/x
  3. Step 3: Cross multiply
    7,504.70x = 10,356.52 × 4,147.70
  4. Step 4: Simplify right side
    7,504.70x = 42,955,738.00
  5. Step 5: Solve for x
    x = 42,955,738.00/7,504.70
  6. Step 6: Final answer
    x = 5,723.84

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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.