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Finding the Fourth Proportional to 38,420.76, 53,020.64 and 21,653.76

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Solution

The fourth proportional to 38,420.76, 53,020.64 and 21,653.76 is: 29,882.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,420.76 : 53,020.64 = 21,653.76 : x
  2. Step 2: Convert to fraction form
    38,420.76/53,020.64 = 21,653.76/x
  3. Step 3: Cross multiply
    38,420.76x = 53,020.64 × 21,653.76
  4. Step 4: Simplify right side
    38,420.76x = 1,148,096,213.61
  5. Step 5: Solve for x
    x = 1,148,096,213.61/38,420.76
  6. Step 6: Final answer
    x = 29,882.18

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1.5x scale

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.