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Finding the Fourth Proportional to 15,686, 23,530.96 and 4,742

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Solution

The fourth proportional to 15,686, 23,530.96 and 4,742 is: 7,113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,686 : 23,530.96 = 4,742 : x
  2. Step 2: Convert to fraction form
    15,686/23,530.96 = 4,742/x
  3. Step 3: Cross multiply
    15,686x = 23,530.96 × 4,742
  4. Step 4: Simplify right side
    15,686x = 111,583,812.32
  5. Step 5: Solve for x
    x = 111,583,812.32/15,686
  6. Step 6: Final answer
    x = 7,113.59

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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.