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Finding the Fourth Proportional to 12,935, 19,400.34 and 4,614.68

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Solution

The fourth proportional to 12,935, 19,400.34 and 4,614.68 is: 6,921.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,935 : 19,400.34 = 4,614.68 : x
  2. Step 2: Convert to fraction form
    12,935/19,400.34 = 4,614.68/x
  3. Step 3: Cross multiply
    12,935x = 19,400.34 × 4,614.68
  4. Step 4: Simplify right side
    12,935x = 89,526,360.99
  5. Step 5: Solve for x
    x = 89,526,360.99/12,935
  6. Step 6: Final answer
    x = 6,921.25

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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.