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Finding the Fourth Proportional to 17,038.80, 25,551.65 and 7,678.44

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Solution

The fourth proportional to 17,038.80, 25,551.65 and 7,678.44 is: 11,514.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,038.80 : 25,551.65 = 7,678.44 : x
  2. Step 2: Convert to fraction form
    17,038.80/25,551.65 = 7,678.44/x
  3. Step 3: Cross multiply
    17,038.80x = 25,551.65 × 7,678.44
  4. Step 4: Simplify right side
    17,038.80x = 196,196,830.62
  5. Step 5: Solve for x
    x = 196,196,830.62/17,038.80
  6. Step 6: Final answer
    x = 11,514.71

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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.