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Finding the Fourth Proportional to 6,569.47, 9,855.87 and 1,889.38

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Solution

The fourth proportional to 6,569.47, 9,855.87 and 1,889.38 is: 2,834.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.47 : 9,855.87 = 1,889.38 : x
  2. Step 2: Convert to fraction form
    6,569.47/9,855.87 = 1,889.38/x
  3. Step 3: Cross multiply
    6,569.47x = 9,855.87 × 1,889.38
  4. Step 4: Simplify right side
    6,569.47x = 18,621,459.02
  5. Step 5: Solve for x
    x = 18,621,459.02/6,569.47
  6. Step 6: Final answer
    x = 2,834.55

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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.