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Finding the Fourth Proportional to 8,492.35, 12,721.95 and 5,561.77

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Solution

The fourth proportional to 8,492.35, 12,721.95 and 5,561.77 is: 8,331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.35 : 12,721.95 = 5,561.77 : x
  2. Step 2: Convert to fraction form
    8,492.35/12,721.95 = 5,561.77/x
  3. Step 3: Cross multiply
    8,492.35x = 12,721.95 × 5,561.77
  4. Step 4: Simplify right side
    8,492.35x = 70,756,559.85
  5. Step 5: Solve for x
    x = 70,756,559.85/8,492.35
  6. Step 6: Final answer
    x = 8,331.80

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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.