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Finding the Fourth Proportional to 2,113, 2,915.94 and 1,181.50

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Solution

The fourth proportional to 2,113, 2,915.94 and 1,181.50 is: 1,630.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113 : 2,915.94 = 1,181.50 : x
  2. Step 2: Convert to fraction form
    2,113/2,915.94 = 1,181.50/x
  3. Step 3: Cross multiply
    2,113x = 2,915.94 × 1,181.50
  4. Step 4: Simplify right side
    2,113x = 3,445,183.11
  5. Step 5: Solve for x
    x = 3,445,183.11/2,113
  6. Step 6: Final answer
    x = 1,630.47

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Why These Related Problems?

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