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Finding the Fourth Proportional to 20,993.64, 28,971.06 and 11,562

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Solution

The fourth proportional to 20,993.64, 28,971.06 and 11,562 is: 15,955.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,993.64 : 28,971.06 = 11,562 : x
  2. Step 2: Convert to fraction form
    20,993.64/28,971.06 = 11,562/x
  3. Step 3: Cross multiply
    20,993.64x = 28,971.06 × 11,562
  4. Step 4: Simplify right side
    20,993.64x = 334,963,395.72
  5. Step 5: Solve for x
    x = 334,963,395.72/20,993.64
  6. Step 6: Final answer
    x = 15,955.47

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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.