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Finding the Fourth Proportional to 38,470.92, 53,090.82 and 21,705

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Solution

The fourth proportional to 38,470.92, 53,090.82 and 21,705 is: 29,953.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,470.92 : 53,090.82 = 21,705 : x
  2. Step 2: Convert to fraction form
    38,470.92/53,090.82 = 21,705/x
  3. Step 3: Cross multiply
    38,470.92x = 53,090.82 × 21,705
  4. Step 4: Simplify right side
    38,470.92x = 1,152,336,248.10
  5. Step 5: Solve for x
    x = 1,152,336,248.10/38,470.92
  6. Step 6: Final answer
    x = 29,953.44

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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.