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Finding the Fourth Proportional to 10,188.54, 14,060.85 and 5,712.58

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Solution

The fourth proportional to 10,188.54, 14,060.85 and 5,712.58 is: 7,883.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.54 : 14,060.85 = 5,712.58 : x
  2. Step 2: Convert to fraction form
    10,188.54/14,060.85 = 5,712.58/x
  3. Step 3: Cross multiply
    10,188.54x = 14,060.85 × 5,712.58
  4. Step 4: Simplify right side
    10,188.54x = 80,323,730.49
  5. Step 5: Solve for x
    x = 80,323,730.49/10,188.54
  6. Step 6: Final answer
    x = 7,883.73

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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.