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Finding the Fourth Proportional to 27,681, 38,204.10 and 16,509.48

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Solution

The fourth proportional to 27,681, 38,204.10 and 16,509.48 is: 22,785.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,681 : 38,204.10 = 16,509.48 : x
  2. Step 2: Convert to fraction form
    27,681/38,204.10 = 16,509.48/x
  3. Step 3: Cross multiply
    27,681x = 38,204.10 × 16,509.48
  4. Step 4: Simplify right side
    27,681x = 630,729,824.87
  5. Step 5: Solve for x
    x = 630,729,824.87/27,681
  6. Step 6: Final answer
    x = 22,785.66

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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.