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Finding the Fourth Proportional to 7,008.42, 9,672.21 and 3,865.26

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Solution

The fourth proportional to 7,008.42, 9,672.21 and 3,865.26 is: 5,334.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.42 : 9,672.21 = 3,865.26 : x
  2. Step 2: Convert to fraction form
    7,008.42/9,672.21 = 3,865.26/x
  3. Step 3: Cross multiply
    7,008.42x = 9,672.21 × 3,865.26
  4. Step 4: Simplify right side
    7,008.42x = 37,385,606.42
  5. Step 5: Solve for x
    x = 37,385,606.42/7,008.42
  6. Step 6: Final answer
    x = 5,334.38

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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.