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Finding the Fourth Proportional to 52,647, 78,984.18 and 15,711

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Solution

The fourth proportional to 52,647, 78,984.18 and 15,711 is: 23,570.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,647 : 78,984.18 = 15,711 : x
  2. Step 2: Convert to fraction form
    52,647/78,984.18 = 15,711/x
  3. Step 3: Cross multiply
    52,647x = 78,984.18 × 15,711
  4. Step 4: Simplify right side
    52,647x = 1,240,920,451.98
  5. Step 5: Solve for x
    x = 1,240,920,451.98/52,647
  6. Step 6: Final answer
    x = 23,570.58

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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.