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Finding the Fourth Proportional to 14,070.96, 19,416.96 and 7,783.56

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Solution

The fourth proportional to 14,070.96, 19,416.96 and 7,783.56 is: 10,740.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,070.96 : 19,416.96 = 7,783.56 : x
  2. Step 2: Convert to fraction form
    14,070.96/19,416.96 = 7,783.56/x
  3. Step 3: Cross multiply
    14,070.96x = 19,416.96 × 7,783.56
  4. Step 4: Simplify right side
    14,070.96x = 151,133,073.18
  5. Step 5: Solve for x
    x = 151,133,073.18/14,070.96
  6. Step 6: Final answer
    x = 10,740.78

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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.