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Finding the Fourth Proportional to 7,276, 10,040.88 and 3,964

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Solution

The fourth proportional to 7,276, 10,040.88 and 3,964 is: 5,470.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,276 : 10,040.88 = 3,964 : x
  2. Step 2: Convert to fraction form
    7,276/10,040.88 = 3,964/x
  3. Step 3: Cross multiply
    7,276x = 10,040.88 × 3,964
  4. Step 4: Simplify right side
    7,276x = 39,802,048.32
  5. Step 5: Solve for x
    x = 39,802,048.32/7,276
  6. Step 6: Final answer
    x = 5,470.32

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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.