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Finding the Fourth Proportional to 12,684.56, 17,482.92 and 9,535.28

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Solution

The fourth proportional to 12,684.56, 17,482.92 and 9,535.28 is: 13,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684.56 : 17,482.92 = 9,535.28 : x
  2. Step 2: Convert to fraction form
    12,684.56/17,482.92 = 9,535.28/x
  3. Step 3: Cross multiply
    12,684.56x = 17,482.92 × 9,535.28
  4. Step 4: Simplify right side
    12,684.56x = 166,704,537.42
  5. Step 5: Solve for x
    x = 166,704,537.42/12,684.56
  6. Step 6: Final answer
    x = 13,142.32

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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.