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Finding the Fourth Proportional to 6,476, 9,715.64 and 1,859

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Solution

The fourth proportional to 6,476, 9,715.64 and 1,859 is: 2,788.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476 : 9,715.64 = 1,859 : x
  2. Step 2: Convert to fraction form
    6,476/9,715.64 = 1,859/x
  3. Step 3: Cross multiply
    6,476x = 9,715.64 × 1,859
  4. Step 4: Simplify right side
    6,476x = 18,061,374.76
  5. Step 5: Solve for x
    x = 18,061,374.76/6,476
  6. Step 6: Final answer
    x = 2,788.97

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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.