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Finding the Fourth Proportional to 7,656.94, 11,489.91 and 3,214.24

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Solution

The fourth proportional to 7,656.94, 11,489.91 and 3,214.24 is: 4,823.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.94 : 11,489.91 = 3,214.24 : x
  2. Step 2: Convert to fraction form
    7,656.94/11,489.91 = 3,214.24/x
  3. Step 3: Cross multiply
    7,656.94x = 11,489.91 × 3,214.24
  4. Step 4: Simplify right side
    7,656.94x = 36,931,328.32
  5. Step 5: Solve for x
    x = 36,931,328.32/7,656.94
  6. Step 6: Final answer
    x = 4,823.25

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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.