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Finding the Fourth Proportional to 4,918.74, 6,786 and 3,150.06

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Solution

The fourth proportional to 4,918.74, 6,786 and 3,150.06 is: 4,345.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,918.74 : 6,786 = 3,150.06 : x
  2. Step 2: Convert to fraction form
    4,918.74/6,786 = 3,150.06/x
  3. Step 3: Cross multiply
    4,918.74x = 6,786 × 3,150.06
  4. Step 4: Simplify right side
    4,918.74x = 21,376,307.16
  5. Step 5: Solve for x
    x = 21,376,307.16/4,918.74
  6. Step 6: Final answer
    x = 4,345.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.