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Finding the Fourth Proportional to 7,415, 10,232.86 and 4,270.68

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Solution

The fourth proportional to 7,415, 10,232.86 and 4,270.68 is: 5,893.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415 : 10,232.86 = 4,270.68 : x
  2. Step 2: Convert to fraction form
    7,415/10,232.86 = 4,270.68/x
  3. Step 3: Cross multiply
    7,415x = 10,232.86 × 4,270.68
  4. Step 4: Simplify right side
    7,415x = 43,701,270.54
  5. Step 5: Solve for x
    x = 43,701,270.54/7,415
  6. Step 6: Final answer
    x = 5,893.63

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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.