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Finding the Fourth Proportional to 3,127, 4,690.50 and 1,075

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Solution

The fourth proportional to 3,127, 4,690.50 and 1,075 is: 1,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127 : 4,690.50 = 1,075 : x
  2. Step 2: Convert to fraction form
    3,127/4,690.50 = 1,075/x
  3. Step 3: Cross multiply
    3,127x = 4,690.50 × 1,075
  4. Step 4: Simplify right side
    3,127x = 5,042,287.50
  5. Step 5: Solve for x
    x = 5,042,287.50/3,127
  6. Step 6: Final answer
    x = 1,612.50

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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.