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Finding the Fourth Proportional to 20,768.47, 28,670.78 and 12,815.08

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Solution

The fourth proportional to 20,768.47, 28,670.78 and 12,815.08 is: 17,691.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,768.47 : 28,670.78 = 12,815.08 : x
  2. Step 2: Convert to fraction form
    20,768.47/28,670.78 = 12,815.08/x
  3. Step 3: Cross multiply
    20,768.47x = 28,670.78 × 12,815.08
  4. Step 4: Simplify right side
    20,768.47x = 367,418,339.36
  5. Step 5: Solve for x
    x = 367,418,339.36/20,768.47
  6. Step 6: Final answer
    x = 17,691.16

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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.