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Finding the Fourth Proportional to 19,879.46, 29,822.51 and 9,216.50

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Solution

The fourth proportional to 19,879.46, 29,822.51 and 9,216.50 is: 13,826.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,879.46 : 29,822.51 = 9,216.50 : x
  2. Step 2: Convert to fraction form
    19,879.46/29,822.51 = 9,216.50/x
  3. Step 3: Cross multiply
    19,879.46x = 29,822.51 × 9,216.50
  4. Step 4: Simplify right side
    19,879.46x = 274,859,214.93
  5. Step 5: Solve for x
    x = 274,859,214.93/19,879.46
  6. Step 6: Final answer
    x = 13,826.29

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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.