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Finding the Fourth Proportional to 37,585.50, 51,869.70 and 20,818.50

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Solution

The fourth proportional to 37,585.50, 51,869.70 and 20,818.50 is: 28,730.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,585.50 : 51,869.70 = 20,818.50 : x
  2. Step 2: Convert to fraction form
    37,585.50/51,869.70 = 20,818.50/x
  3. Step 3: Cross multiply
    37,585.50x = 51,869.70 × 20,818.50
  4. Step 4: Simplify right side
    37,585.50x = 1,079,849,349.45
  5. Step 5: Solve for x
    x = 1,079,849,349.45/37,585.50
  6. Step 6: Final answer
    x = 28,730.48

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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.