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Finding the Fourth Proportional to 6,138, 8,470.80 and 3,485.52

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Solution

The fourth proportional to 6,138, 8,470.80 and 3,485.52 is: 4,810.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138 : 8,470.80 = 3,485.52 : x
  2. Step 2: Convert to fraction form
    6,138/8,470.80 = 3,485.52/x
  3. Step 3: Cross multiply
    6,138x = 8,470.80 × 3,485.52
  4. Step 4: Simplify right side
    6,138x = 29,525,142.82
  5. Step 5: Solve for x
    x = 29,525,142.82/6,138
  6. Step 6: Final answer
    x = 4,810.22

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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.