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Finding the Fourth Proportional to 6,261.16, 8,638.50 and 3,607

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Solution

The fourth proportional to 6,261.16, 8,638.50 and 3,607 is: 4,976.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,261.16 : 8,638.50 = 3,607 : x
  2. Step 2: Convert to fraction form
    6,261.16/8,638.50 = 3,607/x
  3. Step 3: Cross multiply
    6,261.16x = 8,638.50 × 3,607
  4. Step 4: Simplify right side
    6,261.16x = 31,159,069.50
  5. Step 5: Solve for x
    x = 31,159,069.50/6,261.16
  6. Step 6: Final answer
    x = 4,976.56

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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.