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Finding the Fourth Proportional to 13,638.50, 18,830.42 and 10,053.88

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Solution

The fourth proportional to 13,638.50, 18,830.42 and 10,053.88 is: 13,881.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.50 : 18,830.42 = 10,053.88 : x
  2. Step 2: Convert to fraction form
    13,638.50/18,830.42 = 10,053.88/x
  3. Step 3: Cross multiply
    13,638.50x = 18,830.42 × 10,053.88
  4. Step 4: Simplify right side
    13,638.50x = 189,318,783.03
  5. Step 5: Solve for x
    x = 189,318,783.03/13,638.50
  6. Step 6: Final answer
    x = 13,881.20

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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.