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Finding the Fourth Proportional to 8,725, 12,040.41 and 5,188.14

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Solution

The fourth proportional to 8,725, 12,040.41 and 5,188.14 is: 7,159.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,725 : 12,040.41 = 5,188.14 : x
  2. Step 2: Convert to fraction form
    8,725/12,040.41 = 5,188.14/x
  3. Step 3: Cross multiply
    8,725x = 12,040.41 × 5,188.14
  4. Step 4: Simplify right side
    8,725x = 62,467,332.74
  5. Step 5: Solve for x
    x = 62,467,332.74/8,725
  6. Step 6: Final answer
    x = 7,159.58

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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.