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Finding the Fourth Proportional to 34,819, 48,050.28 and 19,915

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Solution

The fourth proportional to 34,819, 48,050.28 and 19,915 is: 27,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,819 : 48,050.28 = 19,915 : x
  2. Step 2: Convert to fraction form
    34,819/48,050.28 = 19,915/x
  3. Step 3: Cross multiply
    34,819x = 48,050.28 × 19,915
  4. Step 4: Simplify right side
    34,819x = 956,921,326.20
  5. Step 5: Solve for x
    x = 956,921,326.20/34,819
  6. Step 6: Final answer
    x = 27,482.73

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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.