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Finding the Fourth Proportional to 6,387.12, 9,581.76 and 4,829.22

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Solution

The fourth proportional to 6,387.12, 9,581.76 and 4,829.22 is: 7,244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.12 : 9,581.76 = 4,829.22 : x
  2. Step 2: Convert to fraction form
    6,387.12/9,581.76 = 4,829.22/x
  3. Step 3: Cross multiply
    6,387.12x = 9,581.76 × 4,829.22
  4. Step 4: Simplify right side
    6,387.12x = 46,272,427.03
  5. Step 5: Solve for x
    x = 46,272,427.03/6,387.12
  6. Step 6: Final answer
    x = 7,244.65

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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.