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Finding the Fourth Proportional to 7,658.64, 11,488.72 and 3,275.12

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Solution

The fourth proportional to 7,658.64, 11,488.72 and 3,275.12 is: 4,913.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.64 : 11,488.72 = 3,275.12 : x
  2. Step 2: Convert to fraction form
    7,658.64/11,488.72 = 3,275.12/x
  3. Step 3: Cross multiply
    7,658.64x = 11,488.72 × 3,275.12
  4. Step 4: Simplify right side
    7,658.64x = 37,626,936.65
  5. Step 5: Solve for x
    x = 37,626,936.65/7,658.64
  6. Step 6: Final answer
    x = 4,913.01

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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.