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Finding the Fourth Proportional to 12,549, 17,317.42 and 6,883.88

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Solution

The fourth proportional to 12,549, 17,317.42 and 6,883.88 is: 9,499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,549 : 17,317.42 = 6,883.88 : x
  2. Step 2: Convert to fraction form
    12,549/17,317.42 = 6,883.88/x
  3. Step 3: Cross multiply
    12,549x = 17,317.42 × 6,883.88
  4. Step 4: Simplify right side
    12,549x = 119,211,041.19
  5. Step 5: Solve for x
    x = 119,211,041.19/12,549
  6. Step 6: Final answer
    x = 9,499.64

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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.