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Finding the Fourth Proportional to 9,798.66, 13,515 and 6,214.71

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Solution

The fourth proportional to 9,798.66, 13,515 and 6,214.71 is: 8,571.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.66 : 13,515 = 6,214.71 : x
  2. Step 2: Convert to fraction form
    9,798.66/13,515 = 6,214.71/x
  3. Step 3: Cross multiply
    9,798.66x = 13,515 × 6,214.71
  4. Step 4: Simplify right side
    9,798.66x = 83,991,805.65
  5. Step 5: Solve for x
    x = 83,991,805.65/9,798.66
  6. Step 6: Final answer
    x = 8,571.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.