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Finding the Fourth Proportional to 34,427, 47,509.26 and 19,523

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Solution

The fourth proportional to 34,427, 47,509.26 and 19,523 is: 26,941.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,427 : 47,509.26 = 19,523 : x
  2. Step 2: Convert to fraction form
    34,427/47,509.26 = 19,523/x
  3. Step 3: Cross multiply
    34,427x = 47,509.26 × 19,523
  4. Step 4: Simplify right side
    34,427x = 927,523,282.98
  5. Step 5: Solve for x
    x = 927,523,282.98/34,427
  6. Step 6: Final answer
    x = 26,941.74

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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.