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Finding the Fourth Proportional to 4,977.09, 7,465.64 and 1,279.32

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Solution

The fourth proportional to 4,977.09, 7,465.64 and 1,279.32 is: 1,918.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.09 : 7,465.64 = 1,279.32 : x
  2. Step 2: Convert to fraction form
    4,977.09/7,465.64 = 1,279.32/x
  3. Step 3: Cross multiply
    4,977.09x = 7,465.64 × 1,279.32
  4. Step 4: Simplify right side
    4,977.09x = 9,550,936.17
  5. Step 5: Solve for x
    x = 9,550,936.17/4,977.09
  6. Step 6: Final answer
    x = 1,918.98

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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.