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Finding the Fourth Proportional to 16,678.49, 25,009.52 and 6,815.12

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Solution

The fourth proportional to 16,678.49, 25,009.52 and 6,815.12 is: 10,219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,678.49 : 25,009.52 = 6,815.12 : x
  2. Step 2: Convert to fraction form
    16,678.49/25,009.52 = 6,815.12/x
  3. Step 3: Cross multiply
    16,678.49x = 25,009.52 × 6,815.12
  4. Step 4: Simplify right side
    16,678.49x = 170,442,720.82
  5. Step 5: Solve for x
    x = 170,442,720.82/16,678.49
  6. Step 6: Final answer
    x = 10,219.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.