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Finding the Fourth Proportional to 38,461.84, 53,077.38 and 21,234.22

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Solution

The fourth proportional to 38,461.84, 53,077.38 and 21,234.22 is: 29,303.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,461.84 : 53,077.38 = 21,234.22 : x
  2. Step 2: Convert to fraction form
    38,461.84/53,077.38 = 21,234.22/x
  3. Step 3: Cross multiply
    38,461.84x = 53,077.38 × 21,234.22
  4. Step 4: Simplify right side
    38,461.84x = 1,127,056,763.94
  5. Step 5: Solve for x
    x = 1,127,056,763.94/38,461.84
  6. Step 6: Final answer
    x = 29,303.25

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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.