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Finding the Fourth Proportional to 4,938.25, 7,407.37 and 1,978.03

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Solution

The fourth proportional to 4,938.25, 7,407.37 and 1,978.03 is: 2,967.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.25 : 7,407.37 = 1,978.03 : x
  2. Step 2: Convert to fraction form
    4,938.25/7,407.37 = 1,978.03/x
  3. Step 3: Cross multiply
    4,938.25x = 7,407.37 × 1,978.03
  4. Step 4: Simplify right side
    4,938.25x = 14,652,013.65
  5. Step 5: Solve for x
    x = 14,652,013.65/4,938.25
  6. Step 6: Final answer
    x = 2,967.05

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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.