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Finding the Fourth Proportional to 18,342.63, 25,323.57 and 13,302

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Solution

The fourth proportional to 18,342.63, 25,323.57 and 13,302 is: 18,364.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,342.63 : 25,323.57 = 13,302 : x
  2. Step 2: Convert to fraction form
    18,342.63/25,323.57 = 13,302/x
  3. Step 3: Cross multiply
    18,342.63x = 25,323.57 × 13,302
  4. Step 4: Simplify right side
    18,342.63x = 336,854,128.14
  5. Step 5: Solve for x
    x = 336,854,128.14/18,342.63
  6. Step 6: Final answer
    x = 18,364.55

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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.