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Finding the Fourth Proportional to 1,415.99, 2,119.53 and 894.18

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Solution

The fourth proportional to 1,415.99, 2,119.53 and 894.18 is: 1,338.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.99 : 2,119.53 = 894.18 : x
  2. Step 2: Convert to fraction form
    1,415.99/2,119.53 = 894.18/x
  3. Step 3: Cross multiply
    1,415.99x = 2,119.53 × 894.18
  4. Step 4: Simplify right side
    1,415.99x = 1,895,241.34
  5. Step 5: Solve for x
    x = 1,895,241.34/1,415.99
  6. Step 6: Final answer
    x = 1,338.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.