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Finding the Fourth Proportional to 4,750.33, 7,128.06 and 1,978.92

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Solution

The fourth proportional to 4,750.33, 7,128.06 and 1,978.92 is: 2,969.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,750.33 : 7,128.06 = 1,978.92 : x
  2. Step 2: Convert to fraction form
    4,750.33/7,128.06 = 1,978.92/x
  3. Step 3: Cross multiply
    4,750.33x = 7,128.06 × 1,978.92
  4. Step 4: Simplify right side
    4,750.33x = 14,105,860.50
  5. Step 5: Solve for x
    x = 14,105,860.50/4,750.33
  6. Step 6: Final answer
    x = 2,969.45

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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.