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Finding the Fourth Proportional to 5,171.60, 7,698.90 and 5,140.84

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Solution

The fourth proportional to 5,171.60, 7,698.90 and 5,140.84 is: 7,653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.60 : 7,698.90 = 5,140.84 : x
  2. Step 2: Convert to fraction form
    5,171.60/7,698.90 = 5,140.84/x
  3. Step 3: Cross multiply
    5,171.60x = 7,698.90 × 5,140.84
  4. Step 4: Simplify right side
    5,171.60x = 39,578,832.32
  5. Step 5: Solve for x
    x = 39,578,832.32/5,171.60
  6. Step 6: Final answer
    x = 7,653.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.