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Finding the Fourth Proportional to 38,489.84, 53,116.80 and 21,723.20

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Solution

The fourth proportional to 38,489.84, 53,116.80 and 21,723.20 is: 29,978.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,489.84 : 53,116.80 = 21,723.20 : x
  2. Step 2: Convert to fraction form
    38,489.84/53,116.80 = 21,723.20/x
  3. Step 3: Cross multiply
    38,489.84x = 53,116.80 × 21,723.20
  4. Step 4: Simplify right side
    38,489.84x = 1,153,866,869.76
  5. Step 5: Solve for x
    x = 1,153,866,869.76/38,489.84
  6. Step 6: Final answer
    x = 29,978.48

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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.