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Finding the Fourth Proportional to 14,367.15, 19,822.79 and 8,400.29

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Solution

The fourth proportional to 14,367.15, 19,822.79 and 8,400.29 is: 11,590.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,367.15 : 19,822.79 = 8,400.29 : x
  2. Step 2: Convert to fraction form
    14,367.15/19,822.79 = 8,400.29/x
  3. Step 3: Cross multiply
    14,367.15x = 19,822.79 × 8,400.29
  4. Step 4: Simplify right side
    14,367.15x = 166,517,106.50
  5. Step 5: Solve for x
    x = 166,517,106.50/14,367.15
  6. Step 6: Final answer
    x = 11,590.13

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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.