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Finding the Fourth Proportional to 7,039.58, 9,710.38 and 4,649.57

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Solution

The fourth proportional to 7,039.58, 9,710.38 and 4,649.57 is: 6,413.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039.58 : 9,710.38 = 4,649.57 : x
  2. Step 2: Convert to fraction form
    7,039.58/9,710.38 = 4,649.57/x
  3. Step 3: Cross multiply
    7,039.58x = 9,710.38 × 4,649.57
  4. Step 4: Simplify right side
    7,039.58x = 45,149,091.54
  5. Step 5: Solve for x
    x = 45,149,091.54/7,039.58
  6. Step 6: Final answer
    x = 6,413.61

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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.