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Finding the Fourth Proportional to 1,454.19, 1,989.03 and 1,431.51

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Solution

The fourth proportional to 1,454.19, 1,989.03 and 1,431.51 is: 1,958.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.19 : 1,989.03 = 1,431.51 : x
  2. Step 2: Convert to fraction form
    1,454.19/1,989.03 = 1,431.51/x
  3. Step 3: Cross multiply
    1,454.19x = 1,989.03 × 1,431.51
  4. Step 4: Simplify right side
    1,454.19x = 2,847,316.34
  5. Step 5: Solve for x
    x = 2,847,316.34/1,454.19
  6. Step 6: Final answer
    x = 1,958.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.