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Finding the Fourth Proportional to 33,838.70, 46,701.76 and 20,417.20

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Solution

The fourth proportional to 33,838.70, 46,701.76 and 20,417.20 is: 28,178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,838.70 : 46,701.76 = 20,417.20 : x
  2. Step 2: Convert to fraction form
    33,838.70/46,701.76 = 20,417.20/x
  3. Step 3: Cross multiply
    33,838.70x = 46,701.76 × 20,417.20
  4. Step 4: Simplify right side
    33,838.70x = 953,519,174.27
  5. Step 5: Solve for x
    x = 953,519,174.27/33,838.70
  6. Step 6: Final answer
    x = 28,178.36

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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.