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Finding the Fourth Proportional to 6,258, 9,390.24 and 3,180

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Solution

The fourth proportional to 6,258, 9,390.24 and 3,180 is: 4,771.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258 : 9,390.24 = 3,180 : x
  2. Step 2: Convert to fraction form
    6,258/9,390.24 = 3,180/x
  3. Step 3: Cross multiply
    6,258x = 9,390.24 × 3,180
  4. Step 4: Simplify right side
    6,258x = 29,860,963.20
  5. Step 5: Solve for x
    x = 29,860,963.20/6,258
  6. Step 6: Final answer
    x = 4,771.65

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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.