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Finding the Fourth Proportional to 7,643.66, 11,465.86 and 2,449.58

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Solution

The fourth proportional to 7,643.66, 11,465.86 and 2,449.58 is: 3,674.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.66 : 11,465.86 = 2,449.58 : x
  2. Step 2: Convert to fraction form
    7,643.66/11,465.86 = 2,449.58/x
  3. Step 3: Cross multiply
    7,643.66x = 11,465.86 × 2,449.58
  4. Step 4: Simplify right side
    7,643.66x = 28,086,541.34
  5. Step 5: Solve for x
    x = 28,086,541.34/7,643.66
  6. Step 6: Final answer
    x = 3,674.49

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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.