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Finding the Fourth Proportional to 30,507.67, 42,078.88 and 27,997.88

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Solution

The fourth proportional to 30,507.67, 42,078.88 and 27,997.88 is: 38,617.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,507.67 : 42,078.88 = 27,997.88 : x
  2. Step 2: Convert to fraction form
    30,507.67/42,078.88 = 27,997.88/x
  3. Step 3: Cross multiply
    30,507.67x = 42,078.88 × 27,997.88
  4. Step 4: Simplify right side
    30,507.67x = 1,178,119,432.77
  5. Step 5: Solve for x
    x = 1,178,119,432.77/30,507.67
  6. Step 6: Final answer
    x = 38,617.16

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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.