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Finding the Fourth Proportional to 12,358.64, 17,055.36 and 6,769.64

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Solution

The fourth proportional to 12,358.64, 17,055.36 and 6,769.64 is: 9,342.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358.64 : 17,055.36 = 6,769.64 : x
  2. Step 2: Convert to fraction form
    12,358.64/17,055.36 = 6,769.64/x
  3. Step 3: Cross multiply
    12,358.64x = 17,055.36 × 6,769.64
  4. Step 4: Simplify right side
    12,358.64x = 115,458,647.27
  5. Step 5: Solve for x
    x = 115,458,647.27/12,358.64
  6. Step 6: Final answer
    x = 9,342.34

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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.