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Finding the Fourth Proportional to 14,400.86, 19,878.12 and 8,434.44

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Solution

The fourth proportional to 14,400.86, 19,878.12 and 8,434.44 is: 11,642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400.86 : 19,878.12 = 8,434.44 : x
  2. Step 2: Convert to fraction form
    14,400.86/19,878.12 = 8,434.44/x
  3. Step 3: Cross multiply
    14,400.86x = 19,878.12 × 8,434.44
  4. Step 4: Simplify right side
    14,400.86x = 167,660,810.45
  5. Step 5: Solve for x
    x = 167,660,810.45/14,400.86
  6. Step 6: Final answer
    x = 11,642.42

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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.