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Finding the Fourth Proportional to 15,747, 23,620.50 and 4,803

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Solution

The fourth proportional to 15,747, 23,620.50 and 4,803 is: 7,204.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,747 : 23,620.50 = 4,803 : x
  2. Step 2: Convert to fraction form
    15,747/23,620.50 = 4,803/x
  3. Step 3: Cross multiply
    15,747x = 23,620.50 × 4,803
  4. Step 4: Simplify right side
    15,747x = 113,449,261.50
  5. Step 5: Solve for x
    x = 113,449,261.50/15,747
  6. Step 6: Final answer
    x = 7,204.50

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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.