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Finding the Fourth Proportional to 2,978.40, 4,460.40 and 2,848.80

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Solution

The fourth proportional to 2,978.40, 4,460.40 and 2,848.80 is: 4,266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.40 : 4,460.40 = 2,848.80 : x
  2. Step 2: Convert to fraction form
    2,978.40/4,460.40 = 2,848.80/x
  3. Step 3: Cross multiply
    2,978.40x = 4,460.40 × 2,848.80
  4. Step 4: Simplify right side
    2,978.40x = 12,706,787.52
  5. Step 5: Solve for x
    x = 12,706,787.52/2,978.40
  6. Step 6: Final answer
    x = 4,266.31

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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.