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Finding the Fourth Proportional to 40,693.50, 61,041.33 and 12,991.50

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Solution

The fourth proportional to 40,693.50, 61,041.33 and 12,991.50 is: 19,487.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,693.50 : 61,041.33 = 12,991.50 : x
  2. Step 2: Convert to fraction form
    40,693.50/61,041.33 = 12,991.50/x
  3. Step 3: Cross multiply
    40,693.50x = 61,041.33 × 12,991.50
  4. Step 4: Simplify right side
    40,693.50x = 793,018,438.70
  5. Step 5: Solve for x
    x = 793,018,438.70/40,693.50
  6. Step 6: Final answer
    x = 19,487.59

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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.