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Finding the Fourth Proportional to 20,806.19, 28,712 and 12,308.75

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Solution

The fourth proportional to 20,806.19, 28,712 and 12,308.75 is: 16,985.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806.19 : 28,712 = 12,308.75 : x
  2. Step 2: Convert to fraction form
    20,806.19/28,712 = 12,308.75/x
  3. Step 3: Cross multiply
    20,806.19x = 28,712 × 12,308.75
  4. Step 4: Simplify right side
    20,806.19x = 353,408,830
  5. Step 5: Solve for x
    x = 353,408,830/20,806.19
  6. Step 6: Final answer
    x = 16,985.75

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1.5x scale

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.