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Finding the Fourth Proportional to 9,145.49, 12,616.13 and 5,782.64

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Solution

The fourth proportional to 9,145.49, 12,616.13 and 5,782.64 is: 7,977.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.49 : 12,616.13 = 5,782.64 : x
  2. Step 2: Convert to fraction form
    9,145.49/12,616.13 = 5,782.64/x
  3. Step 3: Cross multiply
    9,145.49x = 12,616.13 × 5,782.64
  4. Step 4: Simplify right side
    9,145.49x = 72,954,489.36
  5. Step 5: Solve for x
    x = 72,954,489.36/9,145.49
  6. Step 6: Final answer
    x = 7,977.10

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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.