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Finding the Fourth Proportional to 15,705.57, 21,674.71 and 9,741.21

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Solution

The fourth proportional to 15,705.57, 21,674.71 and 9,741.21 is: 13,443.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.57 : 21,674.71 = 9,741.21 : x
  2. Step 2: Convert to fraction form
    15,705.57/21,674.71 = 9,741.21/x
  3. Step 3: Cross multiply
    15,705.57x = 21,674.71 × 9,741.21
  4. Step 4: Simplify right side
    15,705.57x = 211,137,901.80
  5. Step 5: Solve for x
    x = 211,137,901.80/15,705.57
  6. Step 6: Final answer
    x = 13,443.50

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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.