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Finding the Fourth Proportional to 13,898.79, 20,838.06 and 9,212.94

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Solution

The fourth proportional to 13,898.79, 20,838.06 and 9,212.94 is: 13,812.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,898.79 : 20,838.06 = 9,212.94 : x
  2. Step 2: Convert to fraction form
    13,898.79/20,838.06 = 9,212.94/x
  3. Step 3: Cross multiply
    13,898.79x = 20,838.06 × 9,212.94
  4. Step 4: Simplify right side
    13,898.79x = 191,979,796.50
  5. Step 5: Solve for x
    x = 191,979,796.50/13,898.79
  6. Step 6: Final answer
    x = 13,812.70

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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.