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Finding the Fourth Proportional to 38,215, 52,736.70 and 21,448

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Solution

The fourth proportional to 38,215, 52,736.70 and 21,448 is: 29,598.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,215 : 52,736.70 = 21,448 : x
  2. Step 2: Convert to fraction form
    38,215/52,736.70 = 21,448/x
  3. Step 3: Cross multiply
    38,215x = 52,736.70 × 21,448
  4. Step 4: Simplify right side
    38,215x = 1,131,096,741.60
  5. Step 5: Solve for x
    x = 1,131,096,741.60/38,215
  6. Step 6: Final answer
    x = 29,598.24

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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.