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Finding the Fourth Proportional to 5,314.35, 7,971.93 and 1,616.90

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Solution

The fourth proportional to 5,314.35, 7,971.93 and 1,616.90 is: 2,425.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.35 : 7,971.93 = 1,616.90 : x
  2. Step 2: Convert to fraction form
    5,314.35/7,971.93 = 1,616.90/x
  3. Step 3: Cross multiply
    5,314.35x = 7,971.93 × 1,616.90
  4. Step 4: Simplify right side
    5,314.35x = 12,889,813.62
  5. Step 5: Solve for x
    x = 12,889,813.62/5,314.35
  6. Step 6: Final answer
    x = 2,425.47

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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.