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Finding the Fourth Proportional to 8,764.58, 13,079.42 and 7,830.33

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Solution

The fourth proportional to 8,764.58, 13,079.42 and 7,830.33 is: 11,685.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,764.58 : 13,079.42 = 7,830.33 : x
  2. Step 2: Convert to fraction form
    8,764.58/13,079.42 = 7,830.33/x
  3. Step 3: Cross multiply
    8,764.58x = 13,079.42 × 7,830.33
  4. Step 4: Simplify right side
    8,764.58x = 102,416,135.66
  5. Step 5: Solve for x
    x = 102,416,135.66/8,764.58
  6. Step 6: Final answer
    x = 11,685.24

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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.