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Finding the Fourth Proportional to 7,530, 10,391.40 and 4,218

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Solution

The fourth proportional to 7,530, 10,391.40 and 4,218 is: 5,820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530 : 10,391.40 = 4,218 : x
  2. Step 2: Convert to fraction form
    7,530/10,391.40 = 4,218/x
  3. Step 3: Cross multiply
    7,530x = 10,391.40 × 4,218
  4. Step 4: Simplify right side
    7,530x = 43,830,925.20
  5. Step 5: Solve for x
    x = 43,830,925.20/7,530
  6. Step 6: Final answer
    x = 5,820.84

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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.