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Finding the Fourth Proportional to 51,789, 77,683.50 and 12,877

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Solution

The fourth proportional to 51,789, 77,683.50 and 12,877 is: 19,315.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,789 : 77,683.50 = 12,877 : x
  2. Step 2: Convert to fraction form
    51,789/77,683.50 = 12,877/x
  3. Step 3: Cross multiply
    51,789x = 77,683.50 × 12,877
  4. Step 4: Simplify right side
    51,789x = 1,000,330,429.50
  5. Step 5: Solve for x
    x = 1,000,330,429.50/51,789
  6. Step 6: Final answer
    x = 19,315.50

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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.