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Finding the Fourth Proportional to 34,416, 47,486.76 and 20,263.68

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Solution

The fourth proportional to 34,416, 47,486.76 and 20,263.68 is: 27,959.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,416 : 47,486.76 = 20,263.68 : x
  2. Step 2: Convert to fraction form
    34,416/47,486.76 = 20,263.68/x
  3. Step 3: Cross multiply
    34,416x = 47,486.76 × 20,263.68
  4. Step 4: Simplify right side
    34,416x = 962,256,508.88
  5. Step 5: Solve for x
    x = 962,256,508.88/34,416
  6. Step 6: Final answer
    x = 27,959.57

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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.