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Finding the Fourth Proportional to 12,619.80, 17,416.62 and 7,585.65

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Solution

The fourth proportional to 12,619.80, 17,416.62 and 7,585.65 is: 10,468.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,619.80 : 17,416.62 = 7,585.65 : x
  2. Step 2: Convert to fraction form
    12,619.80/17,416.62 = 7,585.65/x
  3. Step 3: Cross multiply
    12,619.80x = 17,416.62 × 7,585.65
  4. Step 4: Simplify right side
    12,619.80x = 132,116,383.50
  5. Step 5: Solve for x
    x = 132,116,383.50/12,619.80
  6. Step 6: Final answer
    x = 10,468.98

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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.