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Finding the Fourth Proportional to 2,189.79, 3,285.93 and 802.94

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Solution

The fourth proportional to 2,189.79, 3,285.93 and 802.94 is: 1,204.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.79 : 3,285.93 = 802.94 : x
  2. Step 2: Convert to fraction form
    2,189.79/3,285.93 = 802.94/x
  3. Step 3: Cross multiply
    2,189.79x = 3,285.93 × 802.94
  4. Step 4: Simplify right side
    2,189.79x = 2,638,404.63
  5. Step 5: Solve for x
    x = 2,638,404.63/2,189.79
  6. Step 6: Final answer
    x = 1,204.87

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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.