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Finding the Fourth Proportional to 10,476, 15,715.62 and 3,903.12

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Solution

The fourth proportional to 10,476, 15,715.62 and 3,903.12 is: 5,855.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476 : 15,715.62 = 3,903.12 : x
  2. Step 2: Convert to fraction form
    10,476/15,715.62 = 3,903.12/x
  3. Step 3: Cross multiply
    10,476x = 15,715.62 × 3,903.12
  4. Step 4: Simplify right side
    10,476x = 61,339,950.73
  5. Step 5: Solve for x
    x = 61,339,950.73/10,476
  6. Step 6: Final answer
    x = 5,855.28

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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.