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Finding the Fourth Proportional to 4,968, 7,455.24 and 1,890

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Solution

The fourth proportional to 4,968, 7,455.24 and 1,890 is: 2,836.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968 : 7,455.24 = 1,890 : x
  2. Step 2: Convert to fraction form
    4,968/7,455.24 = 1,890/x
  3. Step 3: Cross multiply
    4,968x = 7,455.24 × 1,890
  4. Step 4: Simplify right side
    4,968x = 14,090,403.60
  5. Step 5: Solve for x
    x = 14,090,403.60/4,968
  6. Step 6: Final answer
    x = 2,836.23

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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.