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Finding the Fourth Proportional to 10,054.98, 13,875.18 and 5,806.22

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Solution

The fourth proportional to 10,054.98, 13,875.18 and 5,806.22 is: 8,012.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.98 : 13,875.18 = 5,806.22 : x
  2. Step 2: Convert to fraction form
    10,054.98/13,875.18 = 5,806.22/x
  3. Step 3: Cross multiply
    10,054.98x = 13,875.18 × 5,806.22
  4. Step 4: Simplify right side
    10,054.98x = 80,562,347.62
  5. Step 5: Solve for x
    x = 80,562,347.62/10,054.98
  6. Step 6: Final answer
    x = 8,012.18

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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.