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Finding the Fourth Proportional to 6,509.82, 8,981.16 and 4,272.96

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Solution

The fourth proportional to 6,509.82, 8,981.16 and 4,272.96 is: 5,895.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.82 : 8,981.16 = 4,272.96 : x
  2. Step 2: Convert to fraction form
    6,509.82/8,981.16 = 4,272.96/x
  3. Step 3: Cross multiply
    6,509.82x = 8,981.16 × 4,272.96
  4. Step 4: Simplify right side
    6,509.82x = 38,376,137.43
  5. Step 5: Solve for x
    x = 38,376,137.43/6,509.82
  6. Step 6: Final answer
    x = 5,895.11

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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.