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Finding the Fourth Proportional to 4,978.62, 7,461.21 and 1,898.94

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Solution

The fourth proportional to 4,978.62, 7,461.21 and 1,898.94 is: 2,845.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.62 : 7,461.21 = 1,898.94 : x
  2. Step 2: Convert to fraction form
    4,978.62/7,461.21 = 1,898.94/x
  3. Step 3: Cross multiply
    4,978.62x = 7,461.21 × 1,898.94
  4. Step 4: Simplify right side
    4,978.62x = 14,168,390.12
  5. Step 5: Solve for x
    x = 14,168,390.12/4,978.62
  6. Step 6: Final answer
    x = 2,845.85

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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.