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Finding the Fourth Proportional to 8,157.51, 12,167.62 and 7,911.47

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Solution

The fourth proportional to 8,157.51, 12,167.62 and 7,911.47 is: 11,800.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.51 : 12,167.62 = 7,911.47 : x
  2. Step 2: Convert to fraction form
    8,157.51/12,167.62 = 7,911.47/x
  3. Step 3: Cross multiply
    8,157.51x = 12,167.62 × 7,911.47
  4. Step 4: Simplify right side
    8,157.51x = 96,263,771.24
  5. Step 5: Solve for x
    x = 96,263,771.24/8,157.51
  6. Step 6: Final answer
    x = 11,800.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.