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Finding the Fourth Proportional to 1,420.05, 1,933.39 and 1,415.66

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Solution

The fourth proportional to 1,420.05, 1,933.39 and 1,415.66 is: 1,927.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.05 : 1,933.39 = 1,415.66 : x
  2. Step 2: Convert to fraction form
    1,420.05/1,933.39 = 1,415.66/x
  3. Step 3: Cross multiply
    1,420.05x = 1,933.39 × 1,415.66
  4. Step 4: Simplify right side
    1,420.05x = 2,737,022.89
  5. Step 5: Solve for x
    x = 2,737,022.89/1,420.05
  6. Step 6: Final answer
    x = 1,927.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.