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Finding the Fourth Proportional to 27,588, 38,071.44 and 15,012.84

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Solution

The fourth proportional to 27,588, 38,071.44 and 15,012.84 is: 20,717.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,588 : 38,071.44 = 15,012.84 : x
  2. Step 2: Convert to fraction form
    27,588/38,071.44 = 15,012.84/x
  3. Step 3: Cross multiply
    27,588x = 38,071.44 × 15,012.84
  4. Step 4: Simplify right side
    27,588x = 571,560,437.29
  5. Step 5: Solve for x
    x = 571,560,437.29/27,588
  6. Step 6: Final answer
    x = 20,717.72

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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.