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Finding the Fourth Proportional to 28,920, 43,386.12 and 16,446

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Solution

The fourth proportional to 28,920, 43,386.12 and 16,446 is: 24,672.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,920 : 43,386.12 = 16,446 : x
  2. Step 2: Convert to fraction form
    28,920/43,386.12 = 16,446/x
  3. Step 3: Cross multiply
    28,920x = 43,386.12 × 16,446
  4. Step 4: Simplify right side
    28,920x = 713,528,129.52
  5. Step 5: Solve for x
    x = 713,528,129.52/28,920
  6. Step 6: Final answer
    x = 24,672.48

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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.