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Finding the Fourth Proportional to 10,079.82, 13,908 and 5,602.64

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Solution

The fourth proportional to 10,079.82, 13,908 and 5,602.64 is: 7,730.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,079.82 : 13,908 = 5,602.64 : x
  2. Step 2: Convert to fraction form
    10,079.82/13,908 = 5,602.64/x
  3. Step 3: Cross multiply
    10,079.82x = 13,908 × 5,602.64
  4. Step 4: Simplify right side
    10,079.82x = 77,921,517.12
  5. Step 5: Solve for x
    x = 77,921,517.12/10,079.82
  6. Step 6: Final answer
    x = 7,730.45

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Why These Related Problems?

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