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Finding the Fourth Proportional to 14,547, 20,074.86 and 7,923

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Solution

The fourth proportional to 14,547, 20,074.86 and 7,923 is: 10,933.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547 : 20,074.86 = 7,923 : x
  2. Step 2: Convert to fraction form
    14,547/20,074.86 = 7,923/x
  3. Step 3: Cross multiply
    14,547x = 20,074.86 × 7,923
  4. Step 4: Simplify right side
    14,547x = 159,053,115.78
  5. Step 5: Solve for x
    x = 159,053,115.78/14,547
  6. Step 6: Final answer
    x = 10,933.74

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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.