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Finding the Fourth Proportional to 15,756.50, 23,638.62 and 4,812.50

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Solution

The fourth proportional to 15,756.50, 23,638.62 and 4,812.50 is: 7,219.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,756.50 : 23,638.62 = 4,812.50 : x
  2. Step 2: Convert to fraction form
    15,756.50/23,638.62 = 4,812.50/x
  3. Step 3: Cross multiply
    15,756.50x = 23,638.62 × 4,812.50
  4. Step 4: Simplify right side
    15,756.50x = 113,760,858.75
  5. Step 5: Solve for x
    x = 113,760,858.75/15,756.50
  6. Step 6: Final answer
    x = 7,219.93

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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.