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Finding the Fourth Proportional to 1,860.16, 2,788.08 and 832

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Solution

The fourth proportional to 1,860.16, 2,788.08 and 832 is: 1,247.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.16 : 2,788.08 = 832 : x
  2. Step 2: Convert to fraction form
    1,860.16/2,788.08 = 832/x
  3. Step 3: Cross multiply
    1,860.16x = 2,788.08 × 832
  4. Step 4: Simplify right side
    1,860.16x = 2,319,682.56
  5. Step 5: Solve for x
    x = 2,319,682.56/1,860.16
  6. Step 6: Final answer
    x = 1,247.03

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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.