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Finding the Fourth Proportional to 37,420, 51,639.66 and 20,653

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Solution

The fourth proportional to 37,420, 51,639.66 and 20,653 is: 28,501.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,420 : 51,639.66 = 20,653 : x
  2. Step 2: Convert to fraction form
    37,420/51,639.66 = 20,653/x
  3. Step 3: Cross multiply
    37,420x = 51,639.66 × 20,653
  4. Step 4: Simplify right side
    37,420x = 1,066,513,897.98
  5. Step 5: Solve for x
    x = 1,066,513,897.98/37,420
  6. Step 6: Final answer
    x = 28,501.17

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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.