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Finding the Fourth Proportional to 10,642.42, 15,958.15 and 5,716.20

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Solution

The fourth proportional to 10,642.42, 15,958.15 and 5,716.20 is: 8,571.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.42 : 15,958.15 = 5,716.20 : x
  2. Step 2: Convert to fraction form
    10,642.42/15,958.15 = 5,716.20/x
  3. Step 3: Cross multiply
    10,642.42x = 15,958.15 × 5,716.20
  4. Step 4: Simplify right side
    10,642.42x = 91,219,897.24
  5. Step 5: Solve for x
    x = 91,219,897.24/10,642.42
  6. Step 6: Final answer
    x = 8,571.35

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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.