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Finding the Fourth Proportional to 16,208.86, 22,368.45 and 9,921.23

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Solution

The fourth proportional to 16,208.86, 22,368.45 and 9,921.23 is: 13,691.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,208.86 : 22,368.45 = 9,921.23 : x
  2. Step 2: Convert to fraction form
    16,208.86/22,368.45 = 9,921.23/x
  3. Step 3: Cross multiply
    16,208.86x = 22,368.45 × 9,921.23
  4. Step 4: Simplify right side
    16,208.86x = 221,922,672.26
  5. Step 5: Solve for x
    x = 221,922,672.26/16,208.86
  6. Step 6: Final answer
    x = 13,691.44

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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.