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Finding the Fourth Proportional to 34,349, 47,401.62 and 19,445

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Solution

The fourth proportional to 34,349, 47,401.62 and 19,445 is: 26,834.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,349 : 47,401.62 = 19,445 : x
  2. Step 2: Convert to fraction form
    34,349/47,401.62 = 19,445/x
  3. Step 3: Cross multiply
    34,349x = 47,401.62 × 19,445
  4. Step 4: Simplify right side
    34,349x = 921,724,500.90
  5. Step 5: Solve for x
    x = 921,724,500.90/34,349
  6. Step 6: Final answer
    x = 26,834.10

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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.