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Finding the Fourth Proportional to 12,092.96, 16,688.47 and 7,312.22

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Solution

The fourth proportional to 12,092.96, 16,688.47 and 7,312.22 is: 10,090.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,092.96 : 16,688.47 = 7,312.22 : x
  2. Step 2: Convert to fraction form
    12,092.96/16,688.47 = 7,312.22/x
  3. Step 3: Cross multiply
    12,092.96x = 16,688.47 × 7,312.22
  4. Step 4: Simplify right side
    12,092.96x = 122,029,764.10
  5. Step 5: Solve for x
    x = 122,029,764.10/12,092.96
  6. Step 6: Final answer
    x = 10,090.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.