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Finding the Fourth Proportional to 1,283.84, 1,916.15 and 1,181.24

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Solution

The fourth proportional to 1,283.84, 1,916.15 and 1,181.24 is: 1,763.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.84 : 1,916.15 = 1,181.24 : x
  2. Step 2: Convert to fraction form
    1,283.84/1,916.15 = 1,181.24/x
  3. Step 3: Cross multiply
    1,283.84x = 1,916.15 × 1,181.24
  4. Step 4: Simplify right side
    1,283.84x = 2,263,433.03
  5. Step 5: Solve for x
    x = 2,263,433.03/1,283.84
  6. Step 6: Final answer
    x = 1,763.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.