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Finding the Fourth Proportional to 6,617.84, 9,920.24 and 3,157.52

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Solution

The fourth proportional to 6,617.84, 9,920.24 and 3,157.52 is: 4,733.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.84 : 9,920.24 = 3,157.52 : x
  2. Step 2: Convert to fraction form
    6,617.84/9,920.24 = 3,157.52/x
  3. Step 3: Cross multiply
    6,617.84x = 9,920.24 × 3,157.52
  4. Step 4: Simplify right side
    6,617.84x = 31,323,356.20
  5. Step 5: Solve for x
    x = 31,323,356.20/6,617.84
  6. Step 6: Final answer
    x = 4,733.17

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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.