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Finding the Fourth Proportional to 1,486.86, 2,051.22 and 897.07

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Solution

The fourth proportional to 1,486.86, 2,051.22 and 897.07 is: 1,237.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.86 : 2,051.22 = 897.07 : x
  2. Step 2: Convert to fraction form
    1,486.86/2,051.22 = 897.07/x
  3. Step 3: Cross multiply
    1,486.86x = 2,051.22 × 897.07
  4. Step 4: Simplify right side
    1,486.86x = 1,840,087.93
  5. Step 5: Solve for x
    x = 1,840,087.93/1,486.86
  6. Step 6: Final answer
    x = 1,237.57

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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.