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Finding the Fourth Proportional to 51,529, 77,293.50 and 12,617

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Solution

The fourth proportional to 51,529, 77,293.50 and 12,617 is: 18,925.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,529 : 77,293.50 = 12,617 : x
  2. Step 2: Convert to fraction form
    51,529/77,293.50 = 12,617/x
  3. Step 3: Cross multiply
    51,529x = 77,293.50 × 12,617
  4. Step 4: Simplify right side
    51,529x = 975,212,089.50
  5. Step 5: Solve for x
    x = 975,212,089.50/51,529
  6. Step 6: Final answer
    x = 18,925.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.