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Finding the Fourth Proportional to 11,970.34, 17,955.32 and 3,762.34

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Solution

The fourth proportional to 11,970.34, 17,955.32 and 3,762.34 is: 5,643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.34 : 17,955.32 = 3,762.34 : x
  2. Step 2: Convert to fraction form
    11,970.34/17,955.32 = 3,762.34/x
  3. Step 3: Cross multiply
    11,970.34x = 17,955.32 × 3,762.34
  4. Step 4: Simplify right side
    11,970.34x = 67,554,018.65
  5. Step 5: Solve for x
    x = 67,554,018.65/11,970.34
  6. Step 6: Final answer
    x = 5,643.45

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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.