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Finding the Fourth Proportional to 27,807, 38,373.67 and 15,232.20

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Solution

The fourth proportional to 27,807, 38,373.67 and 15,232.20 is: 21,020.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,807 : 38,373.67 = 15,232.20 : x
  2. Step 2: Convert to fraction form
    27,807/38,373.67 = 15,232.20/x
  3. Step 3: Cross multiply
    27,807x = 38,373.67 × 15,232.20
  4. Step 4: Simplify right side
    27,807x = 584,515,416.17
  5. Step 5: Solve for x
    x = 584,515,416.17/27,807
  6. Step 6: Final answer
    x = 21,020.44

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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.