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Finding the Fourth Proportional to 7,643.76, 11,465.94 and 7,228.20

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Solution

The fourth proportional to 7,643.76, 11,465.94 and 7,228.20 is: 10,842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.76 : 11,465.94 = 7,228.20 : x
  2. Step 2: Convert to fraction form
    7,643.76/11,465.94 = 7,228.20/x
  3. Step 3: Cross multiply
    7,643.76x = 11,465.94 × 7,228.20
  4. Step 4: Simplify right side
    7,643.76x = 82,878,107.51
  5. Step 5: Solve for x
    x = 82,878,107.51/7,643.76
  6. Step 6: Final answer
    x = 10,842.58

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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.