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Finding the Fourth Proportional to 1,415.75, 1,953.90 and 1,084.05

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Solution

The fourth proportional to 1,415.75, 1,953.90 and 1,084.05 is: 1,496.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.75 : 1,953.90 = 1,084.05 : x
  2. Step 2: Convert to fraction form
    1,415.75/1,953.90 = 1,084.05/x
  3. Step 3: Cross multiply
    1,415.75x = 1,953.90 × 1,084.05
  4. Step 4: Simplify right side
    1,415.75x = 2,118,125.30
  5. Step 5: Solve for x
    x = 2,118,125.30/1,415.75
  6. Step 6: Final answer
    x = 1,496.12

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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.