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Finding the Fourth Proportional to 1,442.84, 1,999.48 and 1,415.15

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Solution

The fourth proportional to 1,442.84, 1,999.48 and 1,415.15 is: 1,961.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.84 : 1,999.48 = 1,415.15 : x
  2. Step 2: Convert to fraction form
    1,442.84/1,999.48 = 1,415.15/x
  3. Step 3: Cross multiply
    1,442.84x = 1,999.48 × 1,415.15
  4. Step 4: Simplify right side
    1,442.84x = 2,829,573.98
  5. Step 5: Solve for x
    x = 2,829,573.98/1,442.84
  6. Step 6: Final answer
    x = 1,961.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.