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Finding the Fourth Proportional to 27,605.79, 38,096 and 15,506.29

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Solution

The fourth proportional to 27,605.79, 38,096 and 15,506.29 is: 21,398.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,605.79 : 38,096 = 15,506.29 : x
  2. Step 2: Convert to fraction form
    27,605.79/38,096 = 15,506.29/x
  3. Step 3: Cross multiply
    27,605.79x = 38,096 × 15,506.29
  4. Step 4: Simplify right side
    27,605.79x = 590,727,623.84
  5. Step 5: Solve for x
    x = 590,727,623.84/27,605.79
  6. Step 6: Final answer
    x = 21,398.69

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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.