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Finding the Fourth Proportional to 12,489.63, 17,235.37 and 6,824.40

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Solution

The fourth proportional to 12,489.63, 17,235.37 and 6,824.40 is: 9,417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,489.63 : 17,235.37 = 6,824.40 : x
  2. Step 2: Convert to fraction form
    12,489.63/17,235.37 = 6,824.40/x
  3. Step 3: Cross multiply
    12,489.63x = 17,235.37 × 6,824.40
  4. Step 4: Simplify right side
    12,489.63x = 117,621,059.03
  5. Step 5: Solve for x
    x = 117,621,059.03/12,489.63
  6. Step 6: Final answer
    x = 9,417.50

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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.