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Finding the Fourth Proportional to 12,478.44, 17,200.44 and 9,822.36

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Solution

The fourth proportional to 12,478.44, 17,200.44 and 9,822.36 is: 13,539.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.44 : 17,200.44 = 9,822.36 : x
  2. Step 2: Convert to fraction form
    12,478.44/17,200.44 = 9,822.36/x
  3. Step 3: Cross multiply
    12,478.44x = 17,200.44 × 9,822.36
  4. Step 4: Simplify right side
    12,478.44x = 168,948,913.84
  5. Step 5: Solve for x
    x = 168,948,913.84/12,478.44
  6. Step 6: Final answer
    x = 13,539.27

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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.