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Finding the Fourth Proportional to 7,470.57, 10,309.01 and 4,112.74

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Solution

The fourth proportional to 7,470.57, 10,309.01 and 4,112.74 is: 5,675.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.57 : 10,309.01 = 4,112.74 : x
  2. Step 2: Convert to fraction form
    7,470.57/10,309.01 = 4,112.74/x
  3. Step 3: Cross multiply
    7,470.57x = 10,309.01 × 4,112.74
  4. Step 4: Simplify right side
    7,470.57x = 42,398,281.68
  5. Step 5: Solve for x
    x = 42,398,281.68/7,470.57
  6. Step 6: Final answer
    x = 5,675.37

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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.