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Finding the Fourth Proportional to 10,382.90, 15,537.90 and 7,102.40

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Solution

The fourth proportional to 10,382.90, 15,537.90 and 7,102.40 is: 10,628.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.90 : 15,537.90 = 7,102.40 : x
  2. Step 2: Convert to fraction form
    10,382.90/15,537.90 = 7,102.40/x
  3. Step 3: Cross multiply
    10,382.90x = 15,537.90 × 7,102.40
  4. Step 4: Simplify right side
    10,382.90x = 110,356,380.96
  5. Step 5: Solve for x
    x = 110,356,380.96/10,382.90
  6. Step 6: Final answer
    x = 10,628.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.