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Finding the Fourth Proportional to 9,492.71, 14,240.19 and 3,949.80

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Solution

The fourth proportional to 9,492.71, 14,240.19 and 3,949.80 is: 5,925.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.71 : 14,240.19 = 3,949.80 : x
  2. Step 2: Convert to fraction form
    9,492.71/14,240.19 = 3,949.80/x
  3. Step 3: Cross multiply
    9,492.71x = 14,240.19 × 3,949.80
  4. Step 4: Simplify right side
    9,492.71x = 56,245,863.87
  5. Step 5: Solve for x
    x = 56,245,863.87/9,492.71
  6. Step 6: Final answer
    x = 5,925.17

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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.