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Finding the Fourth Proportional to 5,098.97, 7,643.93 and 1,811.63

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Solution

The fourth proportional to 5,098.97, 7,643.93 and 1,811.63 is: 2,715.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.97 : 7,643.93 = 1,811.63 : x
  2. Step 2: Convert to fraction form
    5,098.97/7,643.93 = 1,811.63/x
  3. Step 3: Cross multiply
    5,098.97x = 7,643.93 × 1,811.63
  4. Step 4: Simplify right side
    5,098.97x = 13,847,963.85
  5. Step 5: Solve for x
    x = 13,847,963.85/5,098.97
  6. Step 6: Final answer
    x = 2,715.84

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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.