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Finding the Fourth Proportional to 38,720, 53,434.08 and 21,056

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Solution

The fourth proportional to 38,720, 53,434.08 and 21,056 is: 29,057.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,720 : 53,434.08 = 21,056 : x
  2. Step 2: Convert to fraction form
    38,720/53,434.08 = 21,056/x
  3. Step 3: Cross multiply
    38,720x = 53,434.08 × 21,056
  4. Step 4: Simplify right side
    38,720x = 1,125,107,988.48
  5. Step 5: Solve for x
    x = 1,125,107,988.48/38,720
  6. Step 6: Final answer
    x = 29,057.54

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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.