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Finding the Fourth Proportional to 12,271.74, 16,929.99 and 8,547.90

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Solution

The fourth proportional to 12,271.74, 16,929.99 and 8,547.90 is: 11,792.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.74 : 16,929.99 = 8,547.90 : x
  2. Step 2: Convert to fraction form
    12,271.74/16,929.99 = 8,547.90/x
  3. Step 3: Cross multiply
    12,271.74x = 16,929.99 × 8,547.90
  4. Step 4: Simplify right side
    12,271.74x = 144,715,861.52
  5. Step 5: Solve for x
    x = 144,715,861.52/12,271.74
  6. Step 6: Final answer
    x = 11,792.61

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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.