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Finding the Fourth Proportional to 4,378, 6,041.64 and 2,515

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Solution

The fourth proportional to 4,378, 6,041.64 and 2,515 is: 3,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,378 : 6,041.64 = 2,515 : x
  2. Step 2: Convert to fraction form
    4,378/6,041.64 = 2,515/x
  3. Step 3: Cross multiply
    4,378x = 6,041.64 × 2,515
  4. Step 4: Simplify right side
    4,378x = 15,194,724.60
  5. Step 5: Solve for x
    x = 15,194,724.60/4,378
  6. Step 6: Final answer
    x = 3,470.70

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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.