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Finding the Fourth Proportional to 10,428.07, 15,640.49 and 3,031

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Solution

The fourth proportional to 10,428.07, 15,640.49 and 3,031 is: 4,546.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.07 : 15,640.49 = 3,031 : x
  2. Step 2: Convert to fraction form
    10,428.07/15,640.49 = 3,031/x
  3. Step 3: Cross multiply
    10,428.07x = 15,640.49 × 3,031
  4. Step 4: Simplify right side
    10,428.07x = 47,406,310.04
  5. Step 5: Solve for x
    x = 47,406,310.04/10,428.07
  6. Step 6: Final answer
    x = 4,546.03

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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.