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Finding the Fourth Proportional to 12,478.56, 17,208.24 and 9,494.64

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Solution

The fourth proportional to 12,478.56, 17,208.24 and 9,494.64 is: 13,093.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.56 : 17,208.24 = 9,494.64 : x
  2. Step 2: Convert to fraction form
    12,478.56/17,208.24 = 9,494.64/x
  3. Step 3: Cross multiply
    12,478.56x = 17,208.24 × 9,494.64
  4. Step 4: Simplify right side
    12,478.56x = 163,386,043.83
  5. Step 5: Solve for x
    x = 163,386,043.83/12,478.56
  6. Step 6: Final answer
    x = 13,093.34

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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.