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Finding the Fourth Proportional to 6,821.47, 9,419.93 and 6,453.19

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Solution

The fourth proportional to 6,821.47, 9,419.93 and 6,453.19 is: 8,911.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.47 : 9,419.93 = 6,453.19 : x
  2. Step 2: Convert to fraction form
    6,821.47/9,419.93 = 6,453.19/x
  3. Step 3: Cross multiply
    6,821.47x = 9,419.93 × 6,453.19
  4. Step 4: Simplify right side
    6,821.47x = 60,788,598.08
  5. Step 5: Solve for x
    x = 60,788,598.08/6,821.47
  6. Step 6: Final answer
    x = 8,911.36

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Double scale
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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.