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Finding the Fourth Proportional to 34,083, 47,038.98 and 20,659.26

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Solution

The fourth proportional to 34,083, 47,038.98 and 20,659.26 is: 28,512.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,083 : 47,038.98 = 20,659.26 : x
  2. Step 2: Convert to fraction form
    34,083/47,038.98 = 20,659.26/x
  3. Step 3: Cross multiply
    34,083x = 47,038.98 × 20,659.26
  4. Step 4: Simplify right side
    34,083x = 971,790,517.95
  5. Step 5: Solve for x
    x = 971,790,517.95/34,083
  6. Step 6: Final answer
    x = 28,512.47

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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.