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Finding the Fourth Proportional to 10,078.36, 13,908.19 and 5,602.53

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Solution

The fourth proportional to 10,078.36, 13,908.19 and 5,602.53 is: 7,731.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.36 : 13,908.19 = 5,602.53 : x
  2. Step 2: Convert to fraction form
    10,078.36/13,908.19 = 5,602.53/x
  3. Step 3: Cross multiply
    10,078.36x = 13,908.19 × 5,602.53
  4. Step 4: Simplify right side
    10,078.36x = 77,921,051.72
  5. Step 5: Solve for x
    x = 77,921,051.72/10,078.36
  6. Step 6: Final answer
    x = 7,731.52

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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.