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Finding the Fourth Proportional to 10,129.95, 13,973.72 and 5,937.39

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Solution

The fourth proportional to 10,129.95, 13,973.72 and 5,937.39 is: 8,190.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.95 : 13,973.72 = 5,937.39 : x
  2. Step 2: Convert to fraction form
    10,129.95/13,973.72 = 5,937.39/x
  3. Step 3: Cross multiply
    10,129.95x = 13,973.72 × 5,937.39
  4. Step 4: Simplify right side
    10,129.95x = 82,967,395.70
  5. Step 5: Solve for x
    x = 82,967,395.70/10,129.95
  6. Step 6: Final answer
    x = 8,190.31

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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.