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Finding the Fourth Proportional to 13,838.48, 20,749.74 and 9,461.24

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Solution

The fourth proportional to 13,838.48, 20,749.74 and 9,461.24 is: 14,186.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.48 : 20,749.74 = 9,461.24 : x
  2. Step 2: Convert to fraction form
    13,838.48/20,749.74 = 9,461.24/x
  3. Step 3: Cross multiply
    13,838.48x = 20,749.74 × 9,461.24
  4. Step 4: Simplify right side
    13,838.48x = 196,318,270.08
  5. Step 5: Solve for x
    x = 196,318,270.08/13,838.48
  6. Step 6: Final answer
    x = 14,186.40

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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.