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Finding the Fourth Proportional to 6,270.88, 8,650 and 4,146.40

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Solution

The fourth proportional to 6,270.88, 8,650 and 4,146.40 is: 5,719.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.88 : 8,650 = 4,146.40 : x
  2. Step 2: Convert to fraction form
    6,270.88/8,650 = 4,146.40/x
  3. Step 3: Cross multiply
    6,270.88x = 8,650 × 4,146.40
  4. Step 4: Simplify right side
    6,270.88x = 35,866,360
  5. Step 5: Solve for x
    x = 35,866,360/6,270.88
  6. Step 6: Final answer
    x = 5,719.51

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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.