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Finding the Fourth Proportional to 15,629, 23,443.50 and 4,685

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Solution

The fourth proportional to 15,629, 23,443.50 and 4,685 is: 7,027.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,629 : 23,443.50 = 4,685 : x
  2. Step 2: Convert to fraction form
    15,629/23,443.50 = 4,685/x
  3. Step 3: Cross multiply
    15,629x = 23,443.50 × 4,685
  4. Step 4: Simplify right side
    15,629x = 109,832,797.50
  5. Step 5: Solve for x
    x = 109,832,797.50/15,629
  6. Step 6: Final answer
    x = 7,027.50

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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.