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Finding the Fourth Proportional to 9,710.75, 13,400.85 and 5,519

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Solution

The fourth proportional to 9,710.75, 13,400.85 and 5,519 is: 7,616.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.75 : 13,400.85 = 5,519 : x
  2. Step 2: Convert to fraction form
    9,710.75/13,400.85 = 5,519/x
  3. Step 3: Cross multiply
    9,710.75x = 13,400.85 × 5,519
  4. Step 4: Simplify right side
    9,710.75x = 73,959,291.15
  5. Step 5: Solve for x
    x = 73,959,291.15/9,710.75
  6. Step 6: Final answer
    x = 7,616.23

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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.