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Finding the Fourth Proportional to 20,641.56, 28,492.62 and 12,258

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Solution

The fourth proportional to 20,641.56, 28,492.62 and 12,258 is: 16,920.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,641.56 : 28,492.62 = 12,258 : x
  2. Step 2: Convert to fraction form
    20,641.56/28,492.62 = 12,258/x
  3. Step 3: Cross multiply
    20,641.56x = 28,492.62 × 12,258
  4. Step 4: Simplify right side
    20,641.56x = 349,262,535.96
  5. Step 5: Solve for x
    x = 349,262,535.96/20,641.56
  6. Step 6: Final answer
    x = 16,920.36

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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.