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Finding the Fourth Proportional to 10,078.70, 13,908.24 and 5,602.64

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Solution

The fourth proportional to 10,078.70, 13,908.24 and 5,602.64 is: 7,731.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.70 : 13,908.24 = 5,602.64 : x
  2. Step 2: Convert to fraction form
    10,078.70/13,908.24 = 5,602.64/x
  3. Step 3: Cross multiply
    10,078.70x = 13,908.24 × 5,602.64
  4. Step 4: Simplify right side
    10,078.70x = 77,922,792.21
  5. Step 5: Solve for x
    x = 77,922,792.21/10,078.70
  6. Step 6: Final answer
    x = 7,731.44

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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.