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Finding the Fourth Proportional to 6,473, 9,709.59 and 1,856

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Solution

The fourth proportional to 6,473, 9,709.59 and 1,856 is: 2,784.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473 : 9,709.59 = 1,856 : x
  2. Step 2: Convert to fraction form
    6,473/9,709.59 = 1,856/x
  3. Step 3: Cross multiply
    6,473x = 9,709.59 × 1,856
  4. Step 4: Simplify right side
    6,473x = 18,020,999.04
  5. Step 5: Solve for x
    x = 18,020,999.04/6,473
  6. Step 6: Final answer
    x = 2,784.03

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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.