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Finding the Fourth Proportional to 1,878.45, 2,814.30 and 902.40

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Solution

The fourth proportional to 1,878.45, 2,814.30 and 902.40 is: 1,351.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.45 : 2,814.30 = 902.40 : x
  2. Step 2: Convert to fraction form
    1,878.45/2,814.30 = 902.40/x
  3. Step 3: Cross multiply
    1,878.45x = 2,814.30 × 902.40
  4. Step 4: Simplify right side
    1,878.45x = 2,539,624.32
  5. Step 5: Solve for x
    x = 2,539,624.32/1,878.45
  6. Step 6: Final answer
    x = 1,351.98

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