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Finding the Fourth Proportional to 5,325.37, 7,975.75 and 5,140.84

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Solution

The fourth proportional to 5,325.37, 7,975.75 and 5,140.84 is: 7,699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.37 : 7,975.75 = 5,140.84 : x
  2. Step 2: Convert to fraction form
    5,325.37/7,975.75 = 5,140.84/x
  3. Step 3: Cross multiply
    5,325.37x = 7,975.75 × 5,140.84
  4. Step 4: Simplify right side
    5,325.37x = 41,002,054.63
  5. Step 5: Solve for x
    x = 41,002,054.63/5,325.37
  6. Step 6: Final answer
    x = 7,699.38

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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.