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Finding the Fourth Proportional to 3,880.14, 5,820.13 and 958.47

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Solution

The fourth proportional to 3,880.14, 5,820.13 and 958.47 is: 1,437.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.14 : 5,820.13 = 958.47 : x
  2. Step 2: Convert to fraction form
    3,880.14/5,820.13 = 958.47/x
  3. Step 3: Cross multiply
    3,880.14x = 5,820.13 × 958.47
  4. Step 4: Simplify right side
    3,880.14x = 5,578,420.00
  5. Step 5: Solve for x
    x = 5,578,420.00/3,880.14
  6. Step 6: Final answer
    x = 1,437.69

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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.