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Finding the Fourth Proportional to 27,997.42, 42,000.58 and 9,278.12

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Solution

The fourth proportional to 27,997.42, 42,000.58 and 9,278.12 is: 13,918.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,997.42 : 42,000.58 = 9,278.12 : x
  2. Step 2: Convert to fraction form
    27,997.42/42,000.58 = 9,278.12/x
  3. Step 3: Cross multiply
    27,997.42x = 42,000.58 × 9,278.12
  4. Step 4: Simplify right side
    27,997.42x = 389,686,421.31
  5. Step 5: Solve for x
    x = 389,686,421.31/27,997.42
  6. Step 6: Final answer
    x = 13,918.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.