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Finding the Fourth Proportional to 7,811.91, 11,702.16 and 3,646.17

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Solution

The fourth proportional to 7,811.91, 11,702.16 and 3,646.17 is: 5,461.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.91 : 11,702.16 = 3,646.17 : x
  2. Step 2: Convert to fraction form
    7,811.91/11,702.16 = 3,646.17/x
  3. Step 3: Cross multiply
    7,811.91x = 11,702.16 × 3,646.17
  4. Step 4: Simplify right side
    7,811.91x = 42,668,064.73
  5. Step 5: Solve for x
    x = 42,668,064.73/7,811.91
  6. Step 6: Final answer
    x = 5,461.92

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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.