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Finding the Fourth Proportional to 3,159.76, 4,735.80 and 1,106

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Solution

The fourth proportional to 3,159.76, 4,735.80 and 1,106 is: 1,657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.76 : 4,735.80 = 1,106 : x
  2. Step 2: Convert to fraction form
    3,159.76/4,735.80 = 1,106/x
  3. Step 3: Cross multiply
    3,159.76x = 4,735.80 × 1,106
  4. Step 4: Simplify right side
    3,159.76x = 5,237,794.80
  5. Step 5: Solve for x
    x = 5,237,794.80/3,159.76
  6. Step 6: Final answer
    x = 1,657.66

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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.