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Finding the Fourth Proportional to 7,645, 11,467.50 and 5,047.33

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Solution

The fourth proportional to 7,645, 11,467.50 and 5,047.33 is: 7,571.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645 : 11,467.50 = 5,047.33 : x
  2. Step 2: Convert to fraction form
    7,645/11,467.50 = 5,047.33/x
  3. Step 3: Cross multiply
    7,645x = 11,467.50 × 5,047.33
  4. Step 4: Simplify right side
    7,645x = 57,880,256.78
  5. Step 5: Solve for x
    x = 57,880,256.78/7,645
  6. Step 6: Final answer
    x = 7,571.00

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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.