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Finding the Fourth Proportional to 11,478.72, 15,848.16 and 8,821.44

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Solution

The fourth proportional to 11,478.72, 15,848.16 and 8,821.44 is: 12,179.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.72 : 15,848.16 = 8,821.44 : x
  2. Step 2: Convert to fraction form
    11,478.72/15,848.16 = 8,821.44/x
  3. Step 3: Cross multiply
    11,478.72x = 15,848.16 × 8,821.44
  4. Step 4: Simplify right side
    11,478.72x = 139,803,592.55
  5. Step 5: Solve for x
    x = 139,803,592.55/11,478.72
  6. Step 6: Final answer
    x = 12,179.37

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1.5x scale

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.