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Finding the Fourth Proportional to 19,876.48, 29,814.08 and 8,180.88

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Solution

The fourth proportional to 19,876.48, 29,814.08 and 8,180.88 is: 12,271.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876.48 : 29,814.08 = 8,180.88 : x
  2. Step 2: Convert to fraction form
    19,876.48/29,814.08 = 8,180.88/x
  3. Step 3: Cross multiply
    19,876.48x = 29,814.08 × 8,180.88
  4. Step 4: Simplify right side
    19,876.48x = 243,905,410.79
  5. Step 5: Solve for x
    x = 243,905,410.79/19,876.48
  6. Step 6: Final answer
    x = 12,271.06

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1.5x scale

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.