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Finding the Fourth Proportional to 37,149, 51,265.62 and 20,381.64

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Solution

The fourth proportional to 37,149, 51,265.62 and 20,381.64 is: 28,126.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,149 : 51,265.62 = 20,381.64 : x
  2. Step 2: Convert to fraction form
    37,149/51,265.62 = 20,381.64/x
  3. Step 3: Cross multiply
    37,149x = 51,265.62 × 20,381.64
  4. Step 4: Simplify right side
    37,149x = 1,044,877,411.22
  5. Step 5: Solve for x
    x = 1,044,877,411.22/37,149
  6. Step 6: Final answer
    x = 28,126.66

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1.5x scale

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.