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Finding the Fourth Proportional to 1,420, 1,958.16 and 1,157.20

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Solution

The fourth proportional to 1,420, 1,958.16 and 1,157.20 is: 1,595.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420 : 1,958.16 = 1,157.20 : x
  2. Step 2: Convert to fraction form
    1,420/1,958.16 = 1,157.20/x
  3. Step 3: Cross multiply
    1,420x = 1,958.16 × 1,157.20
  4. Step 4: Simplify right side
    1,420x = 2,265,982.75
  5. Step 5: Solve for x
    x = 2,265,982.75/1,420
  6. Step 6: Final answer
    x = 1,595.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.