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Finding the Fourth Proportional to 34,318, 47,359.84 and 19,210.61

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Solution

The fourth proportional to 34,318, 47,359.84 and 19,210.61 is: 26,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,318 : 47,359.84 = 19,210.61 : x
  2. Step 2: Convert to fraction form
    34,318/47,359.84 = 19,210.61/x
  3. Step 3: Cross multiply
    34,318x = 47,359.84 × 19,210.61
  4. Step 4: Simplify right side
    34,318x = 909,811,415.90
  5. Step 5: Solve for x
    x = 909,811,415.90/34,318
  6. Step 6: Final answer
    x = 26,511.20

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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.