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Finding the Fourth Proportional to 19,814.70, 29,701.70 and 8,719.32

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Solution

The fourth proportional to 19,814.70, 29,701.70 and 8,719.32 is: 13,070.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814.70 : 29,701.70 = 8,719.32 : x
  2. Step 2: Convert to fraction form
    19,814.70/29,701.70 = 8,719.32/x
  3. Step 3: Cross multiply
    19,814.70x = 29,701.70 × 8,719.32
  4. Step 4: Simplify right side
    19,814.70x = 258,978,626.84
  5. Step 5: Solve for x
    x = 258,978,626.84/19,814.70
  6. Step 6: Final answer
    x = 13,070.03

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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.