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Finding the Fourth Proportional to 8,258.96, 12,400.70 and 8,012.93

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Solution

The fourth proportional to 8,258.96, 12,400.70 and 8,012.93 is: 12,031.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258.96 : 12,400.70 = 8,012.93 : x
  2. Step 2: Convert to fraction form
    8,258.96/12,400.70 = 8,012.93/x
  3. Step 3: Cross multiply
    8,258.96x = 12,400.70 × 8,012.93
  4. Step 4: Simplify right side
    8,258.96x = 99,365,838.98
  5. Step 5: Solve for x
    x = 99,365,838.98/8,258.96
  6. Step 6: Final answer
    x = 12,031.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.