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Finding the Fourth Proportional to 5,438.80, 8,175.60 and 5,053.60

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Solution

The fourth proportional to 5,438.80, 8,175.60 and 5,053.60 is: 7,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.80 : 8,175.60 = 5,053.60 : x
  2. Step 2: Convert to fraction form
    5,438.80/8,175.60 = 5,053.60/x
  3. Step 3: Cross multiply
    5,438.80x = 8,175.60 × 5,053.60
  4. Step 4: Simplify right side
    5,438.80x = 41,316,212.16
  5. Step 5: Solve for x
    x = 41,316,212.16/5,438.80
  6. Step 6: Final answer
    x = 7,596.57

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1.5x scale

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.