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Finding the Fourth Proportional to 1,461.95, 2,174.12 and 1,415.80

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Solution

The fourth proportional to 1,461.95, 2,174.12 and 1,415.80 is: 2,105.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.95 : 2,174.12 = 1,415.80 : x
  2. Step 2: Convert to fraction form
    1,461.95/2,174.12 = 1,415.80/x
  3. Step 3: Cross multiply
    1,461.95x = 2,174.12 × 1,415.80
  4. Step 4: Simplify right side
    1,461.95x = 3,078,114.73
  5. Step 5: Solve for x
    x = 3,078,114.73/1,461.95
  6. Step 6: Final answer
    x = 2,105.49

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1.5x scale

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.