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Finding the Fourth Proportional to 19,875, 27,433.26 and 13,251

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Solution

The fourth proportional to 19,875, 27,433.26 and 13,251 is: 18,290.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,875 : 27,433.26 = 13,251 : x
  2. Step 2: Convert to fraction form
    19,875/27,433.26 = 13,251/x
  3. Step 3: Cross multiply
    19,875x = 27,433.26 × 13,251
  4. Step 4: Simplify right side
    19,875x = 363,518,128.26
  5. Step 5: Solve for x
    x = 363,518,128.26/19,875
  6. Step 6: Final answer
    x = 18,290.22

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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.