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Finding the Fourth Proportional to 19,675, 27,151.77 and 11,291.50

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Solution

The fourth proportional to 19,675, 27,151.77 and 11,291.50 is: 15,582.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,675 : 27,151.77 = 11,291.50 : x
  2. Step 2: Convert to fraction form
    19,675/27,151.77 = 11,291.50/x
  3. Step 3: Cross multiply
    19,675x = 27,151.77 × 11,291.50
  4. Step 4: Simplify right side
    19,675x = 306,584,210.96
  5. Step 5: Solve for x
    x = 306,584,210.96/19,675
  6. Step 6: Final answer
    x = 15,582.42

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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.