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Finding the Fourth Proportional to 1,993.63, 2,989.32 and 953.89

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Solution

The fourth proportional to 1,993.63, 2,989.32 and 953.89 is: 1,430.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.63 : 2,989.32 = 953.89 : x
  2. Step 2: Convert to fraction form
    1,993.63/2,989.32 = 953.89/x
  3. Step 3: Cross multiply
    1,993.63x = 2,989.32 × 953.89
  4. Step 4: Simplify right side
    1,993.63x = 2,851,467.51
  5. Step 5: Solve for x
    x = 2,851,467.51/1,993.63
  6. Step 6: Final answer
    x = 1,430.29

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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.