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Finding the Fourth Proportional to 2,651.84, 3,978.40 and 802.85

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Solution

The fourth proportional to 2,651.84, 3,978.40 and 802.85 is: 1,204.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.84 : 3,978.40 = 802.85 : x
  2. Step 2: Convert to fraction form
    2,651.84/3,978.40 = 802.85/x
  3. Step 3: Cross multiply
    2,651.84x = 3,978.40 × 802.85
  4. Step 4: Simplify right side
    2,651.84x = 3,194,038.05
  5. Step 5: Solve for x
    x = 3,194,038.05/2,651.84
  6. Step 6: Final answer
    x = 1,204.46

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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.