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Finding the Fourth Proportional to 5,400.16, 8,100 and 5,341.60

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Solution

The fourth proportional to 5,400.16, 8,100 and 5,341.60 is: 8,012.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,400.16 : 8,100 = 5,341.60 : x
  2. Step 2: Convert to fraction form
    5,400.16/8,100 = 5,341.60/x
  3. Step 3: Cross multiply
    5,400.16x = 8,100 × 5,341.60
  4. Step 4: Simplify right side
    5,400.16x = 43,266,960
  5. Step 5: Solve for x
    x = 43,266,960/5,400.16
  6. Step 6: Final answer
    x = 8,012.16

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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.