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Finding the Fourth Proportional to 4,698.90, 6,477.90 and 3,280.56

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Solution

The fourth proportional to 4,698.90, 6,477.90 and 3,280.56 is: 4,522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.90 : 6,477.90 = 3,280.56 : x
  2. Step 2: Convert to fraction form
    4,698.90/6,477.90 = 3,280.56/x
  3. Step 3: Cross multiply
    4,698.90x = 6,477.90 × 3,280.56
  4. Step 4: Simplify right side
    4,698.90x = 21,251,139.62
  5. Step 5: Solve for x
    x = 21,251,139.62/4,698.90
  6. Step 6: Final answer
    x = 4,522.58

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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.