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Finding the Fourth Proportional to 10,647, 15,970.77 and 3,721.50

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Solution

The fourth proportional to 10,647, 15,970.77 and 3,721.50 is: 5,582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647 : 15,970.77 = 3,721.50 : x
  2. Step 2: Convert to fraction form
    10,647/15,970.77 = 3,721.50/x
  3. Step 3: Cross multiply
    10,647x = 15,970.77 × 3,721.50
  4. Step 4: Simplify right side
    10,647x = 59,435,220.56
  5. Step 5: Solve for x
    x = 59,435,220.56/10,647
  6. Step 6: Final answer
    x = 5,582.34

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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.