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Finding the Fourth Proportional to 4,254, 5,870.64 and 2,391.60

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Solution

The fourth proportional to 4,254, 5,870.64 and 2,391.60 is: 3,300.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254 : 5,870.64 = 2,391.60 : x
  2. Step 2: Convert to fraction form
    4,254/5,870.64 = 2,391.60/x
  3. Step 3: Cross multiply
    4,254x = 5,870.64 × 2,391.60
  4. Step 4: Simplify right side
    4,254x = 14,040,222.62
  5. Step 5: Solve for x
    x = 14,040,222.62/4,254
  6. Step 6: Final answer
    x = 3,300.48

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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.