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Finding the Fourth Proportional to 7,807.36, 11,710.86 and 2,184.88

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Solution

The fourth proportional to 7,807.36, 11,710.86 and 2,184.88 is: 3,277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.36 : 11,710.86 = 2,184.88 : x
  2. Step 2: Convert to fraction form
    7,807.36/11,710.86 = 2,184.88/x
  3. Step 3: Cross multiply
    7,807.36x = 11,710.86 × 2,184.88
  4. Step 4: Simplify right side
    7,807.36x = 25,586,823.80
  5. Step 5: Solve for x
    x = 25,586,823.80/7,807.36
  6. Step 6: Final answer
    x = 3,277.27

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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.