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Finding the Fourth Proportional to 5,098.55, 7,643.13 and 1,980.63

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Solution

The fourth proportional to 5,098.55, 7,643.13 and 1,980.63 is: 2,969.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.55 : 7,643.13 = 1,980.63 : x
  2. Step 2: Convert to fraction form
    5,098.55/7,643.13 = 1,980.63/x
  3. Step 3: Cross multiply
    5,098.55x = 7,643.13 × 1,980.63
  4. Step 4: Simplify right side
    5,098.55x = 15,138,212.57
  5. Step 5: Solve for x
    x = 15,138,212.57/5,098.55
  6. Step 6: Final answer
    x = 2,969.12

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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.