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Finding the Fourth Proportional to 4,978.38, 7,466.61 and 1,899.66

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Solution

The fourth proportional to 4,978.38, 7,466.61 and 1,899.66 is: 2,849.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.38 : 7,466.61 = 1,899.66 : x
  2. Step 2: Convert to fraction form
    4,978.38/7,466.61 = 1,899.66/x
  3. Step 3: Cross multiply
    4,978.38x = 7,466.61 × 1,899.66
  4. Step 4: Simplify right side
    4,978.38x = 14,184,020.35
  5. Step 5: Solve for x
    x = 14,184,020.35/4,978.38
  6. Step 6: Final answer
    x = 2,849.12

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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.