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Finding the Fourth Proportional to 9,412.54, 12,995.42 and 6,427.28

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Solution

The fourth proportional to 9,412.54, 12,995.42 and 6,427.28 is: 8,873.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.54 : 12,995.42 = 6,427.28 : x
  2. Step 2: Convert to fraction form
    9,412.54/12,995.42 = 6,427.28/x
  3. Step 3: Cross multiply
    9,412.54x = 12,995.42 × 6,427.28
  4. Step 4: Simplify right side
    9,412.54x = 83,525,203.06
  5. Step 5: Solve for x
    x = 83,525,203.06/9,412.54
  6. Step 6: Final answer
    x = 8,873.82

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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.