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Finding the Fourth Proportional to 1,535.25, 2,118.65 and 836.63

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Solution

The fourth proportional to 1,535.25, 2,118.65 and 836.63 is: 1,154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.25 : 2,118.65 = 836.63 : x
  2. Step 2: Convert to fraction form
    1,535.25/2,118.65 = 836.63/x
  3. Step 3: Cross multiply
    1,535.25x = 2,118.65 × 836.63
  4. Step 4: Simplify right side
    1,535.25x = 1,772,511.37
  5. Step 5: Solve for x
    x = 1,772,511.37/1,535.25
  6. Step 6: Final answer
    x = 1,154.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.