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Finding the Fourth Proportional to 8,547.72, 12,811.77 and 3,921

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Solution

The fourth proportional to 8,547.72, 12,811.77 and 3,921 is: 5,877.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.72 : 12,811.77 = 3,921 : x
  2. Step 2: Convert to fraction form
    8,547.72/12,811.77 = 3,921/x
  3. Step 3: Cross multiply
    8,547.72x = 12,811.77 × 3,921
  4. Step 4: Simplify right side
    8,547.72x = 50,234,950.17
  5. Step 5: Solve for x
    x = 50,234,950.17/8,547.72
  6. Step 6: Final answer
    x = 5,877.00

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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.