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Finding the Fourth Proportional to 1,878.79, 2,813.95 and 905.62

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Solution

The fourth proportional to 1,878.79, 2,813.95 and 905.62 is: 1,356.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.79 : 2,813.95 = 905.62 : x
  2. Step 2: Convert to fraction form
    1,878.79/2,813.95 = 905.62/x
  3. Step 3: Cross multiply
    1,878.79x = 2,813.95 × 905.62
  4. Step 4: Simplify right side
    1,878.79x = 2,548,369.40
  5. Step 5: Solve for x
    x = 2,548,369.40/1,878.79
  6. Step 6: Final answer
    x = 1,356.39

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1.5x scale

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.