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Finding the Fourth Proportional to 13,703.21, 18,911.02 and 7,734.93

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Solution

The fourth proportional to 13,703.21, 18,911.02 and 7,734.93 is: 10,674.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703.21 : 18,911.02 = 7,734.93 : x
  2. Step 2: Convert to fraction form
    13,703.21/18,911.02 = 7,734.93/x
  3. Step 3: Cross multiply
    13,703.21x = 18,911.02 × 7,734.93
  4. Step 4: Simplify right side
    13,703.21x = 146,275,340.18
  5. Step 5: Solve for x
    x = 146,275,340.18/13,703.21
  6. Step 6: Final answer
    x = 10,674.53

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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.