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Finding the Fourth Proportional to 7,658.15, 11,488.91 and 2,978.24

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Solution

The fourth proportional to 7,658.15, 11,488.91 and 2,978.24 is: 4,468.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.15 : 11,488.91 = 2,978.24 : x
  2. Step 2: Convert to fraction form
    7,658.15/11,488.91 = 2,978.24/x
  3. Step 3: Cross multiply
    7,658.15x = 11,488.91 × 2,978.24
  4. Step 4: Simplify right side
    7,658.15x = 34,216,658.98
  5. Step 5: Solve for x
    x = 34,216,658.98/7,658.15
  6. Step 6: Final answer
    x = 4,468.01

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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.