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Finding the Fourth Proportional to 4,477.92, 6,716.88 and 1,357.90

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Solution

The fourth proportional to 4,477.92, 6,716.88 and 1,357.90 is: 2,036.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.92 : 6,716.88 = 1,357.90 : x
  2. Step 2: Convert to fraction form
    4,477.92/6,716.88 = 1,357.90/x
  3. Step 3: Cross multiply
    4,477.92x = 6,716.88 × 1,357.90
  4. Step 4: Simplify right side
    4,477.92x = 9,120,851.35
  5. Step 5: Solve for x
    x = 9,120,851.35/4,477.92
  6. Step 6: Final answer
    x = 2,036.85

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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.