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Finding the Fourth Proportional to 37,683.88, 52,005.54 and 20,917

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Solution

The fourth proportional to 37,683.88, 52,005.54 and 20,917 is: 28,866.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,683.88 : 52,005.54 = 20,917 : x
  2. Step 2: Convert to fraction form
    37,683.88/52,005.54 = 20,917/x
  3. Step 3: Cross multiply
    37,683.88x = 52,005.54 × 20,917
  4. Step 4: Simplify right side
    37,683.88x = 1,087,799,880.18
  5. Step 5: Solve for x
    x = 1,087,799,880.18/37,683.88
  6. Step 6: Final answer
    x = 28,866.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.