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Finding the Fourth Proportional to 8,648.64, 11,942.10 and 7,055.51

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Solution

The fourth proportional to 8,648.64, 11,942.10 and 7,055.51 is: 9,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.64 : 11,942.10 = 7,055.51 : x
  2. Step 2: Convert to fraction form
    8,648.64/11,942.10 = 7,055.51/x
  3. Step 3: Cross multiply
    8,648.64x = 11,942.10 × 7,055.51
  4. Step 4: Simplify right side
    8,648.64x = 84,257,546.26
  5. Step 5: Solve for x
    x = 84,257,546.26/8,648.64
  6. Step 6: Final answer
    x = 9,742.29

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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.