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Finding the Fourth Proportional to 15,178.51, 20,943.93 and 9,209.08

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Solution

The fourth proportional to 15,178.51, 20,943.93 and 9,209.08 is: 12,707.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,178.51 : 20,943.93 = 9,209.08 : x
  2. Step 2: Convert to fraction form
    15,178.51/20,943.93 = 9,209.08/x
  3. Step 3: Cross multiply
    15,178.51x = 20,943.93 × 9,209.08
  4. Step 4: Simplify right side
    15,178.51x = 192,874,326.88
  5. Step 5: Solve for x
    x = 192,874,326.88/15,178.51
  6. Step 6: Final answer
    x = 12,707.07

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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.