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Finding the Fourth Proportional to 12,585, 18,950.91 and 9,321.24

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Solution

The fourth proportional to 12,585, 18,950.91 and 9,321.24 is: 14,036.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585 : 18,950.91 = 9,321.24 : x
  2. Step 2: Convert to fraction form
    12,585/18,950.91 = 9,321.24/x
  3. Step 3: Cross multiply
    12,585x = 18,950.91 × 9,321.24
  4. Step 4: Simplify right side
    12,585x = 176,645,980.33
  5. Step 5: Solve for x
    x = 176,645,980.33/12,585
  6. Step 6: Final answer
    x = 14,036.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.