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Finding the Fourth Proportional to 19,918, 29,874.93 and 12,500.47

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Solution

The fourth proportional to 19,918, 29,874.93 and 12,500.47 is: 18,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,918 : 29,874.93 = 12,500.47 : x
  2. Step 2: Convert to fraction form
    19,918/29,874.93 = 12,500.47/x
  3. Step 3: Cross multiply
    19,918x = 29,874.93 × 12,500.47
  4. Step 4: Simplify right side
    19,918x = 373,450,666.22
  5. Step 5: Solve for x
    x = 373,450,666.22/19,918
  6. Step 6: Final answer
    x = 18,749.41

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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.