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Finding the Fourth Proportional to 7,184.64, 9,889.12 and 5,085.12

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Solution

The fourth proportional to 7,184.64, 9,889.12 and 5,085.12 is: 6,999.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.64 : 9,889.12 = 5,085.12 : x
  2. Step 2: Convert to fraction form
    7,184.64/9,889.12 = 5,085.12/x
  3. Step 3: Cross multiply
    7,184.64x = 9,889.12 × 5,085.12
  4. Step 4: Simplify right side
    7,184.64x = 50,287,361.89
  5. Step 5: Solve for x
    x = 50,287,361.89/7,184.64
  6. Step 6: Final answer
    x = 6,999.29

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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.