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Finding the Fourth Proportional to 6,569.75, 9,854.64 and 1,639.38

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Solution

The fourth proportional to 6,569.75, 9,854.64 and 1,639.38 is: 2,459.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.75 : 9,854.64 = 1,639.38 : x
  2. Step 2: Convert to fraction form
    6,569.75/9,854.64 = 1,639.38/x
  3. Step 3: Cross multiply
    6,569.75x = 9,854.64 × 1,639.38
  4. Step 4: Simplify right side
    6,569.75x = 16,155,536.68
  5. Step 5: Solve for x
    x = 16,155,536.68/6,569.75
  6. Step 6: Final answer
    x = 2,459.08

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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.