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Finding the Fourth Proportional to 1,466.94, 2,189.94 and 1,415.68

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Solution

The fourth proportional to 1,466.94, 2,189.94 and 1,415.68 is: 2,113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.94 : 2,189.94 = 1,415.68 : x
  2. Step 2: Convert to fraction form
    1,466.94/2,189.94 = 1,415.68/x
  3. Step 3: Cross multiply
    1,466.94x = 2,189.94 × 1,415.68
  4. Step 4: Simplify right side
    1,466.94x = 3,100,254.26
  5. Step 5: Solve for x
    x = 3,100,254.26/1,466.94
  6. Step 6: Final answer
    x = 2,113.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.