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Finding the Fourth Proportional to 6,454.80, 8,908.32 and 3,660

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Solution

The fourth proportional to 6,454.80, 8,908.32 and 3,660 is: 5,051.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.80 : 8,908.32 = 3,660 : x
  2. Step 2: Convert to fraction form
    6,454.80/8,908.32 = 3,660/x
  3. Step 3: Cross multiply
    6,454.80x = 8,908.32 × 3,660
  4. Step 4: Simplify right side
    6,454.80x = 32,604,451.20
  5. Step 5: Solve for x
    x = 32,604,451.20/6,454.80
  6. Step 6: Final answer
    x = 5,051.19

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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.