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Finding the Fourth Proportional to 12,430.80, 18,643.29 and 7,974.99

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Solution

The fourth proportional to 12,430.80, 18,643.29 and 7,974.99 is: 11,960.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,430.80 : 18,643.29 = 7,974.99 : x
  2. Step 2: Convert to fraction form
    12,430.80/18,643.29 = 7,974.99/x
  3. Step 3: Cross multiply
    12,430.80x = 18,643.29 × 7,974.99
  4. Step 4: Simplify right side
    12,430.80x = 148,680,051.32
  5. Step 5: Solve for x
    x = 148,680,051.32/12,430.80
  6. Step 6: Final answer
    x = 11,960.62

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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.