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Finding the Fourth Proportional to 9,311, 13,964.88 and 3,071.08

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Solution

The fourth proportional to 9,311, 13,964.88 and 3,071.08 is: 4,606.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311 : 13,964.88 = 3,071.08 : x
  2. Step 2: Convert to fraction form
    9,311/13,964.88 = 3,071.08/x
  3. Step 3: Cross multiply
    9,311x = 13,964.88 × 3,071.08
  4. Step 4: Simplify right side
    9,311x = 42,887,263.67
  5. Step 5: Solve for x
    x = 42,887,263.67/9,311
  6. Step 6: Final answer
    x = 4,606.09

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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.