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Finding the Fourth Proportional to 6,277.69, 8,663.10 and 3,445.12

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Solution

The fourth proportional to 6,277.69, 8,663.10 and 3,445.12 is: 4,754.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.69 : 8,663.10 = 3,445.12 : x
  2. Step 2: Convert to fraction form
    6,277.69/8,663.10 = 3,445.12/x
  3. Step 3: Cross multiply
    6,277.69x = 8,663.10 × 3,445.12
  4. Step 4: Simplify right side
    6,277.69x = 29,845,419.07
  5. Step 5: Solve for x
    x = 29,845,419.07/6,277.69
  6. Step 6: Final answer
    x = 4,754.20

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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.