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Finding the Fourth Proportional to 6,278, 9,417.54 and 1,661

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Solution

The fourth proportional to 6,278, 9,417.54 and 1,661 is: 2,491.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278 : 9,417.54 = 1,661 : x
  2. Step 2: Convert to fraction form
    6,278/9,417.54 = 1,661/x
  3. Step 3: Cross multiply
    6,278x = 9,417.54 × 1,661
  4. Step 4: Simplify right side
    6,278x = 15,642,533.94
  5. Step 5: Solve for x
    x = 15,642,533.94/6,278
  6. Step 6: Final answer
    x = 2,491.64

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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.