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Finding the Fourth Proportional to 20,348, 28,078.70 and 12,389.34

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Solution

The fourth proportional to 20,348, 28,078.70 and 12,389.34 is: 17,096.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,348 : 28,078.70 = 12,389.34 : x
  2. Step 2: Convert to fraction form
    20,348/28,078.70 = 12,389.34/x
  3. Step 3: Cross multiply
    20,348x = 28,078.70 × 12,389.34
  4. Step 4: Simplify right side
    20,348x = 347,876,561.06
  5. Step 5: Solve for x
    x = 347,876,561.06/20,348
  6. Step 6: Final answer
    x = 17,096.35

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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.