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Finding the Fourth Proportional to 36,712, 50,666.88 and 21,808

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Solution

The fourth proportional to 36,712, 50,666.88 and 21,808 is: 30,097.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,712 : 50,666.88 = 21,808 : x
  2. Step 2: Convert to fraction form
    36,712/50,666.88 = 21,808/x
  3. Step 3: Cross multiply
    36,712x = 50,666.88 × 21,808
  4. Step 4: Simplify right side
    36,712x = 1,104,943,319.04
  5. Step 5: Solve for x
    x = 1,104,943,319.04/36,712
  6. Step 6: Final answer
    x = 30,097.61

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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.