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Finding the Fourth Proportional to 9,157.44, 13,718.40 and 7,200

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Solution

The fourth proportional to 9,157.44, 13,718.40 and 7,200 is: 10,786.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.44 : 13,718.40 = 7,200 : x
  2. Step 2: Convert to fraction form
    9,157.44/13,718.40 = 7,200/x
  3. Step 3: Cross multiply
    9,157.44x = 13,718.40 × 7,200
  4. Step 4: Simplify right side
    9,157.44x = 98,772,480
  5. Step 5: Solve for x
    x = 98,772,480/9,157.44
  6. Step 6: Final answer
    x = 10,786.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.