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Finding the Fourth Proportional to 13,856.16, 20,784.06 and 9,402.78

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Solution

The fourth proportional to 13,856.16, 20,784.06 and 9,402.78 is: 14,104.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856.16 : 20,784.06 = 9,402.78 : x
  2. Step 2: Convert to fraction form
    13,856.16/20,784.06 = 9,402.78/x
  3. Step 3: Cross multiply
    13,856.16x = 20,784.06 × 9,402.78
  4. Step 4: Simplify right side
    13,856.16x = 195,428,021.63
  5. Step 5: Solve for x
    x = 195,428,021.63/13,856.16
  6. Step 6: Final answer
    x = 14,104.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.