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Finding the Fourth Proportional to 2,893.89, 4,341.54 and 841.89

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Solution

The fourth proportional to 2,893.89, 4,341.54 and 841.89 is: 1,263.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.89 : 4,341.54 = 841.89 : x
  2. Step 2: Convert to fraction form
    2,893.89/4,341.54 = 841.89/x
  3. Step 3: Cross multiply
    2,893.89x = 4,341.54 × 841.89
  4. Step 4: Simplify right side
    2,893.89x = 3,655,099.11
  5. Step 5: Solve for x
    x = 3,655,099.11/2,893.89
  6. Step 6: Final answer
    x = 1,263.04

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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.