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Finding the Fourth Proportional to 4,900.01, 7,350 and 1,978.28

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Solution

The fourth proportional to 4,900.01, 7,350 and 1,978.28 is: 2,967.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.01 : 7,350 = 1,978.28 : x
  2. Step 2: Convert to fraction form
    4,900.01/7,350 = 1,978.28/x
  3. Step 3: Cross multiply
    4,900.01x = 7,350 × 1,978.28
  4. Step 4: Simplify right side
    4,900.01x = 14,540,358
  5. Step 5: Solve for x
    x = 14,540,358/4,900.01
  6. Step 6: Final answer
    x = 2,967.41

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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.