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Finding the Fourth Proportional to 37,430, 51,653.50 and 20,663

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Solution

The fourth proportional to 37,430, 51,653.50 and 20,663 is: 28,515.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,430 : 51,653.50 = 20,663 : x
  2. Step 2: Convert to fraction form
    37,430/51,653.50 = 20,663/x
  3. Step 3: Cross multiply
    37,430x = 51,653.50 × 20,663
  4. Step 4: Simplify right side
    37,430x = 1,067,316,270.50
  5. Step 5: Solve for x
    x = 1,067,316,270.50/37,430
  6. Step 6: Final answer
    x = 28,515.00

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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.