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Finding the Fourth Proportional to 6,491.69, 9,735.62 and 1,810.57

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Solution

The fourth proportional to 6,491.69, 9,735.62 and 1,810.57 is: 2,715.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.69 : 9,735.62 = 1,810.57 : x
  2. Step 2: Convert to fraction form
    6,491.69/9,735.62 = 1,810.57/x
  3. Step 3: Cross multiply
    6,491.69x = 9,735.62 × 1,810.57
  4. Step 4: Simplify right side
    6,491.69x = 17,627,020.06
  5. Step 5: Solve for x
    x = 17,627,020.06/6,491.69
  6. Step 6: Final answer
    x = 2,715.32

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1.5x scale

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.