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Finding the Fourth Proportional to 7,643.10, 11,464.65 and 3,746.70

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Solution

The fourth proportional to 7,643.10, 11,464.65 and 3,746.70 is: 5,620.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.10 : 11,464.65 = 3,746.70 : x
  2. Step 2: Convert to fraction form
    7,643.10/11,464.65 = 3,746.70/x
  3. Step 3: Cross multiply
    7,643.10x = 11,464.65 × 3,746.70
  4. Step 4: Simplify right side
    7,643.10x = 42,954,604.16
  5. Step 5: Solve for x
    x = 42,954,604.16/7,643.10
  6. Step 6: Final answer
    x = 5,620.05

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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.