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Finding the Fourth Proportional to 6,677.76, 9,215.14 and 3,693.60

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Solution

The fourth proportional to 6,677.76, 9,215.14 and 3,693.60 is: 5,097.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.76 : 9,215.14 = 3,693.60 : x
  2. Step 2: Convert to fraction form
    6,677.76/9,215.14 = 3,693.60/x
  3. Step 3: Cross multiply
    6,677.76x = 9,215.14 × 3,693.60
  4. Step 4: Simplify right side
    6,677.76x = 34,037,041.10
  5. Step 5: Solve for x
    x = 34,037,041.10/6,677.76
  6. Step 6: Final answer
    x = 5,097.07

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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.