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Finding the Fourth Proportional to 7,124.63, 9,831.99 and 3,980.82

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Solution

The fourth proportional to 7,124.63, 9,831.99 and 3,980.82 is: 5,493.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.63 : 9,831.99 = 3,980.82 : x
  2. Step 2: Convert to fraction form
    7,124.63/9,831.99 = 3,980.82/x
  3. Step 3: Cross multiply
    7,124.63x = 9,831.99 × 3,980.82
  4. Step 4: Simplify right side
    7,124.63x = 39,139,382.43
  5. Step 5: Solve for x
    x = 39,139,382.43/7,124.63
  6. Step 6: Final answer
    x = 5,493.54

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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.