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Finding the Fourth Proportional to 1,486.49, 2,051.32 and 857.01

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Solution

The fourth proportional to 1,486.49, 2,051.32 and 857.01 is: 1,182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.49 : 2,051.32 = 857.01 : x
  2. Step 2: Convert to fraction form
    1,486.49/2,051.32 = 857.01/x
  3. Step 3: Cross multiply
    1,486.49x = 2,051.32 × 857.01
  4. Step 4: Simplify right side
    1,486.49x = 1,758,001.75
  5. Step 5: Solve for x
    x = 1,758,001.75/1,486.49
  6. Step 6: Final answer
    x = 1,182.65

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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.