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Finding the Fourth Proportional to 20,009.84, 27,595.14 and 18,420

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Solution

The fourth proportional to 20,009.84, 27,595.14 and 18,420 is: 25,402.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,009.84 : 27,595.14 = 18,420 : x
  2. Step 2: Convert to fraction form
    20,009.84/27,595.14 = 18,420/x
  3. Step 3: Cross multiply
    20,009.84x = 27,595.14 × 18,420
  4. Step 4: Simplify right side
    20,009.84x = 508,302,478.80
  5. Step 5: Solve for x
    x = 508,302,478.80/20,009.84
  6. Step 6: Final answer
    x = 25,402.63

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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.