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Finding the Fourth Proportional to 4,750.29, 7,126.01 and 1,978.83

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Solution

The fourth proportional to 4,750.29, 7,126.01 and 1,978.83 is: 2,968.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,750.29 : 7,126.01 = 1,978.83 : x
  2. Step 2: Convert to fraction form
    4,750.29/7,126.01 = 1,978.83/x
  3. Step 3: Cross multiply
    4,750.29x = 7,126.01 × 1,978.83
  4. Step 4: Simplify right side
    4,750.29x = 14,101,152.47
  5. Step 5: Solve for x
    x = 14,101,152.47/4,750.29
  6. Step 6: Final answer
    x = 2,968.48

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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.