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Finding the Fourth Proportional to 13,905.15, 20,858.24 and 7,148.93

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Solution

The fourth proportional to 13,905.15, 20,858.24 and 7,148.93 is: 10,723.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,905.15 : 20,858.24 = 7,148.93 : x
  2. Step 2: Convert to fraction form
    13,905.15/20,858.24 = 7,148.93/x
  3. Step 3: Cross multiply
    13,905.15x = 20,858.24 × 7,148.93
  4. Step 4: Simplify right side
    13,905.15x = 149,114,097.68
  5. Step 5: Solve for x
    x = 149,114,097.68/13,905.15
  6. Step 6: Final answer
    x = 10,723.66

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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.