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Finding the Fourth Proportional to 13,688.64, 18,862.44 and 9,441

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Solution

The fourth proportional to 13,688.64, 18,862.44 and 9,441 is: 13,009.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.64 : 18,862.44 = 9,441 : x
  2. Step 2: Convert to fraction form
    13,688.64/18,862.44 = 9,441/x
  3. Step 3: Cross multiply
    13,688.64x = 18,862.44 × 9,441
  4. Step 4: Simplify right side
    13,688.64x = 178,080,296.04
  5. Step 5: Solve for x
    x = 178,080,296.04/13,688.64
  6. Step 6: Final answer
    x = 13,009.35

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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.