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Finding the Fourth Proportional to 12,409.80, 18,619.02 and 6,869.40

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Solution

The fourth proportional to 12,409.80, 18,619.02 and 6,869.40 is: 10,306.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.80 : 18,619.02 = 6,869.40 : x
  2. Step 2: Convert to fraction form
    12,409.80/18,619.02 = 6,869.40/x
  3. Step 3: Cross multiply
    12,409.80x = 18,619.02 × 6,869.40
  4. Step 4: Simplify right side
    12,409.80x = 127,901,495.99
  5. Step 5: Solve for x
    x = 127,901,495.99/12,409.80
  6. Step 6: Final answer
    x = 10,306.49

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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.