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Finding the Fourth Proportional to 6,391.17, 9,586.71 and 1,774.17

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Solution

The fourth proportional to 6,391.17, 9,586.71 and 1,774.17 is: 2,661.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.17 : 9,586.71 = 1,774.17 : x
  2. Step 2: Convert to fraction form
    6,391.17/9,586.71 = 1,774.17/x
  3. Step 3: Cross multiply
    6,391.17x = 9,586.71 × 1,774.17
  4. Step 4: Simplify right side
    6,391.17x = 17,008,453.28
  5. Step 5: Solve for x
    x = 17,008,453.28/6,391.17
  6. Step 6: Final answer
    x = 2,661.24

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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.