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Finding the Fourth Proportional to 27,379, 37,783.02 and 14,803.76

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Solution

The fourth proportional to 27,379, 37,783.02 and 14,803.76 is: 20,429.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,379 : 37,783.02 = 14,803.76 : x
  2. Step 2: Convert to fraction form
    27,379/37,783.02 = 14,803.76/x
  3. Step 3: Cross multiply
    27,379x = 37,783.02 × 14,803.76
  4. Step 4: Simplify right side
    27,379x = 559,330,760.16
  5. Step 5: Solve for x
    x = 559,330,760.16/27,379
  6. Step 6: Final answer
    x = 20,429.19

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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.