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Finding the Fourth Proportional to 6,472, 9,709.62 and 1,855

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Solution

The fourth proportional to 6,472, 9,709.62 and 1,855 is: 2,782.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472 : 9,709.62 = 1,855 : x
  2. Step 2: Convert to fraction form
    6,472/9,709.62 = 1,855/x
  3. Step 3: Cross multiply
    6,472x = 9,709.62 × 1,855
  4. Step 4: Simplify right side
    6,472x = 18,011,345.10
  5. Step 5: Solve for x
    x = 18,011,345.10/6,472
  6. Step 6: Final answer
    x = 2,782.96

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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.