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Finding the Fourth Proportional to 34,253.76, 51,379.86 and 15,785.76

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Solution

The fourth proportional to 34,253.76, 51,379.86 and 15,785.76 is: 23,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,253.76 : 51,379.86 = 15,785.76 : x
  2. Step 2: Convert to fraction form
    34,253.76/51,379.86 = 15,785.76/x
  3. Step 3: Cross multiply
    34,253.76x = 51,379.86 × 15,785.76
  4. Step 4: Simplify right side
    34,253.76x = 811,070,138.79
  5. Step 5: Solve for x
    x = 811,070,138.79/34,253.76
  6. Step 6: Final answer
    x = 23,678.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.