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Finding the Fourth Proportional to 9,884.48, 13,621.74 and 7,085.12

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Solution

The fourth proportional to 9,884.48, 13,621.74 and 7,085.12 is: 9,763.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.48 : 13,621.74 = 7,085.12 : x
  2. Step 2: Convert to fraction form
    9,884.48/13,621.74 = 7,085.12/x
  3. Step 3: Cross multiply
    9,884.48x = 13,621.74 × 7,085.12
  4. Step 4: Simplify right side
    9,884.48x = 96,511,662.51
  5. Step 5: Solve for x
    x = 96,511,662.51/9,884.48
  6. Step 6: Final answer
    x = 9,763.96

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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.