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Finding the Fourth Proportional to 9,720.87, 13,410 and 6,185.22

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Solution

The fourth proportional to 9,720.87, 13,410 and 6,185.22 is: 8,532.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.87 : 13,410 = 6,185.22 : x
  2. Step 2: Convert to fraction form
    9,720.87/13,410 = 6,185.22/x
  3. Step 3: Cross multiply
    9,720.87x = 13,410 × 6,185.22
  4. Step 4: Simplify right side
    9,720.87x = 82,943,800.20
  5. Step 5: Solve for x
    x = 82,943,800.20/9,720.87
  6. Step 6: Final answer
    x = 8,532.55

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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.