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Finding the Fourth Proportional to 30,279.50, 41,785.71 and 17,031.50

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Solution

The fourth proportional to 30,279.50, 41,785.71 and 17,031.50 is: 23,503.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,279.50 : 41,785.71 = 17,031.50 : x
  2. Step 2: Convert to fraction form
    30,279.50/41,785.71 = 17,031.50/x
  3. Step 3: Cross multiply
    30,279.50x = 41,785.71 × 17,031.50
  4. Step 4: Simplify right side
    30,279.50x = 711,673,319.87
  5. Step 5: Solve for x
    x = 711,673,319.87/30,279.50
  6. Step 6: Final answer
    x = 23,503.47

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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.