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Finding the Fourth Proportional to 7,182.90, 9,913.32 and 4,039.07

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Solution

The fourth proportional to 7,182.90, 9,913.32 and 4,039.07 is: 5,574.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.90 : 9,913.32 = 4,039.07 : x
  2. Step 2: Convert to fraction form
    7,182.90/9,913.32 = 4,039.07/x
  3. Step 3: Cross multiply
    7,182.90x = 9,913.32 × 4,039.07
  4. Step 4: Simplify right side
    7,182.90x = 40,040,543.85
  5. Step 5: Solve for x
    x = 40,040,543.85/7,182.90
  6. Step 6: Final answer
    x = 5,574.43

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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.