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Finding the Fourth Proportional to 13,705.34, 18,912.99 and 7,655.42

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Solution

The fourth proportional to 13,705.34, 18,912.99 and 7,655.42 is: 10,564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.34 : 18,912.99 = 7,655.42 : x
  2. Step 2: Convert to fraction form
    13,705.34/18,912.99 = 7,655.42/x
  3. Step 3: Cross multiply
    13,705.34x = 18,912.99 × 7,655.42
  4. Step 4: Simplify right side
    13,705.34x = 144,786,881.91
  5. Step 5: Solve for x
    x = 144,786,881.91/13,705.34
  6. Step 6: Final answer
    x = 10,564.27

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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.