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Finding the Fourth Proportional to 4,652.11, 6,978.59 and 1,320.39

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Solution

The fourth proportional to 4,652.11, 6,978.59 and 1,320.39 is: 1,980.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.11 : 6,978.59 = 1,320.39 : x
  2. Step 2: Convert to fraction form
    4,652.11/6,978.59 = 1,320.39/x
  3. Step 3: Cross multiply
    4,652.11x = 6,978.59 × 1,320.39
  4. Step 4: Simplify right side
    4,652.11x = 9,214,453.85
  5. Step 5: Solve for x
    x = 9,214,453.85/4,652.11
  6. Step 6: Final answer
    x = 1,980.70

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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.