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Finding the Fourth Proportional to 12,478.16, 17,219.94 and 6,889.16

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Solution

The fourth proportional to 12,478.16, 17,219.94 and 6,889.16 is: 9,507.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.16 : 17,219.94 = 6,889.16 : x
  2. Step 2: Convert to fraction form
    12,478.16/17,219.94 = 6,889.16/x
  3. Step 3: Cross multiply
    12,478.16x = 17,219.94 × 6,889.16
  4. Step 4: Simplify right side
    12,478.16x = 118,630,921.85
  5. Step 5: Solve for x
    x = 118,630,921.85/12,478.16
  6. Step 6: Final answer
    x = 9,507.08

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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.