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Finding the Fourth Proportional to 37,302.88, 51,478.32 and 20,536

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Solution

The fourth proportional to 37,302.88, 51,478.32 and 20,536 is: 28,339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,302.88 : 51,478.32 = 20,536 : x
  2. Step 2: Convert to fraction form
    37,302.88/51,478.32 = 20,536/x
  3. Step 3: Cross multiply
    37,302.88x = 51,478.32 × 20,536
  4. Step 4: Simplify right side
    37,302.88x = 1,057,158,779.52
  5. Step 5: Solve for x
    x = 1,057,158,779.52/37,302.88
  6. Step 6: Final answer
    x = 28,339.87

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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.