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Finding the Fourth Proportional to 37,611, 56,416.50 and 12,987

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Solution

The fourth proportional to 37,611, 56,416.50 and 12,987 is: 19,480.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,611 : 56,416.50 = 12,987 : x
  2. Step 2: Convert to fraction form
    37,611/56,416.50 = 12,987/x
  3. Step 3: Cross multiply
    37,611x = 56,416.50 × 12,987
  4. Step 4: Simplify right side
    37,611x = 732,681,085.50
  5. Step 5: Solve for x
    x = 732,681,085.50/37,611
  6. Step 6: Final answer
    x = 19,480.50

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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.