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Finding the Fourth Proportional to 28,536.71, 42,797.70 and 8,541.45

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Solution

The fourth proportional to 28,536.71, 42,797.70 and 8,541.45 is: 12,809.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,536.71 : 42,797.70 = 8,541.45 : x
  2. Step 2: Convert to fraction form
    28,536.71/42,797.70 = 8,541.45/x
  3. Step 3: Cross multiply
    28,536.71x = 42,797.70 × 8,541.45
  4. Step 4: Simplify right side
    28,536.71x = 365,554,414.67
  5. Step 5: Solve for x
    x = 365,554,414.67/28,536.71
  6. Step 6: Final answer
    x = 12,809.97

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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.