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Finding the Fourth Proportional to 7,644.99, 10,549.89 and 4,242

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Solution

The fourth proportional to 7,644.99, 10,549.89 and 4,242 is: 5,853.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.99 : 10,549.89 = 4,242 : x
  2. Step 2: Convert to fraction form
    7,644.99/10,549.89 = 4,242/x
  3. Step 3: Cross multiply
    7,644.99x = 10,549.89 × 4,242
  4. Step 4: Simplify right side
    7,644.99x = 44,752,633.38
  5. Step 5: Solve for x
    x = 44,752,633.38/7,644.99
  6. Step 6: Final answer
    x = 5,853.85

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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.