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Finding the Fourth Proportional to 34,704, 47,900.16 and 19,808.64

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Solution

The fourth proportional to 34,704, 47,900.16 and 19,808.64 is: 27,340.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,704 : 47,900.16 = 19,808.64 : x
  2. Step 2: Convert to fraction form
    34,704/47,900.16 = 19,808.64/x
  3. Step 3: Cross multiply
    34,704x = 47,900.16 × 19,808.64
  4. Step 4: Simplify right side
    34,704x = 948,837,025.38
  5. Step 5: Solve for x
    x = 948,837,025.38/34,704
  6. Step 6: Final answer
    x = 27,340.85

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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.