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Finding the Fourth Proportional to 27,732, 38,270.38 and 15,156.76

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Solution

The fourth proportional to 27,732, 38,270.38 and 15,156.76 is: 20,916.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,732 : 38,270.38 = 15,156.76 : x
  2. Step 2: Convert to fraction form
    27,732/38,270.38 = 15,156.76/x
  3. Step 3: Cross multiply
    27,732x = 38,270.38 × 15,156.76
  4. Step 4: Simplify right side
    27,732x = 580,054,964.77
  5. Step 5: Solve for x
    x = 580,054,964.77/27,732
  6. Step 6: Final answer
    x = 20,916.45

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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.