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Finding the Fourth Proportional to 9,772, 13,485.52 and 6,982.24

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Solution

The fourth proportional to 9,772, 13,485.52 and 6,982.24 is: 9,635.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772 : 13,485.52 = 6,982.24 : x
  2. Step 2: Convert to fraction form
    9,772/13,485.52 = 6,982.24/x
  3. Step 3: Cross multiply
    9,772x = 13,485.52 × 6,982.24
  4. Step 4: Simplify right side
    9,772x = 94,159,137.16
  5. Step 5: Solve for x
    x = 94,159,137.16/9,772
  6. Step 6: Final answer
    x = 9,635.61

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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.