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Finding the Fourth Proportional to 14,544, 20,070.72 and 7,920

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Solution

The fourth proportional to 14,544, 20,070.72 and 7,920 is: 10,929.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,544 : 20,070.72 = 7,920 : x
  2. Step 2: Convert to fraction form
    14,544/20,070.72 = 7,920/x
  3. Step 3: Cross multiply
    14,544x = 20,070.72 × 7,920
  4. Step 4: Simplify right side
    14,544x = 158,960,102.40
  5. Step 5: Solve for x
    x = 158,960,102.40/14,544
  6. Step 6: Final answer
    x = 10,929.60

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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.