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Finding the Fourth Proportional to 13,703.81, 18,911.54 and 7,735.12

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Solution

The fourth proportional to 13,703.81, 18,911.54 and 7,735.12 is: 10,674.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703.81 : 18,911.54 = 7,735.12 : x
  2. Step 2: Convert to fraction form
    13,703.81/18,911.54 = 7,735.12/x
  3. Step 3: Cross multiply
    13,703.81x = 18,911.54 × 7,735.12
  4. Step 4: Simplify right side
    13,703.81x = 146,283,003.34
  5. Step 5: Solve for x
    x = 146,283,003.34/13,703.81
  6. Step 6: Final answer
    x = 10,674.63

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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.