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Finding the Fourth Proportional to 7,070.85, 9,757.53 and 3,926.88

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Solution

The fourth proportional to 7,070.85, 9,757.53 and 3,926.88 is: 5,418.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.85 : 9,757.53 = 3,926.88 : x
  2. Step 2: Convert to fraction form
    7,070.85/9,757.53 = 3,926.88/x
  3. Step 3: Cross multiply
    7,070.85x = 9,757.53 × 3,926.88
  4. Step 4: Simplify right side
    7,070.85x = 38,316,649.41
  5. Step 5: Solve for x
    x = 38,316,649.41/7,070.85
  6. Step 6: Final answer
    x = 5,418.96

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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.