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Finding the Fourth Proportional to 1,870.67, 2,801.75 and 1,138.63

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Solution

The fourth proportional to 1,870.67, 2,801.75 and 1,138.63 is: 1,705.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.67 : 2,801.75 = 1,138.63 : x
  2. Step 2: Convert to fraction form
    1,870.67/2,801.75 = 1,138.63/x
  3. Step 3: Cross multiply
    1,870.67x = 2,801.75 × 1,138.63
  4. Step 4: Simplify right side
    1,870.67x = 3,190,156.60
  5. Step 5: Solve for x
    x = 3,190,156.60/1,870.67
  6. Step 6: Final answer
    x = 1,705.36

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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.