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Finding the Fourth Proportional to 4,651.98, 6,978.17 and 1,320.46

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Solution

The fourth proportional to 4,651.98, 6,978.17 and 1,320.46 is: 1,980.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.98 : 6,978.17 = 1,320.46 : x
  2. Step 2: Convert to fraction form
    4,651.98/6,978.17 = 1,320.46/x
  3. Step 3: Cross multiply
    4,651.98x = 6,978.17 × 1,320.46
  4. Step 4: Simplify right side
    4,651.98x = 9,214,397.66
  5. Step 5: Solve for x
    x = 9,214,397.66/4,651.98
  6. Step 6: Final answer
    x = 1,980.75

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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.