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Finding the Fourth Proportional to 7,533, 11,289.78 and 4,247.64

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Solution

The fourth proportional to 7,533, 11,289.78 and 4,247.64 is: 6,365.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533 : 11,289.78 = 4,247.64 : x
  2. Step 2: Convert to fraction form
    7,533/11,289.78 = 4,247.64/x
  3. Step 3: Cross multiply
    7,533x = 11,289.78 × 4,247.64
  4. Step 4: Simplify right side
    7,533x = 47,954,921.12
  5. Step 5: Solve for x
    x = 47,954,921.12/7,533
  6. Step 6: Final answer
    x = 6,365.98

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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.