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Finding the Fourth Proportional to 12,314.91, 18,469.65 and 3,547.92

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Solution

The fourth proportional to 12,314.91, 18,469.65 and 3,547.92 is: 5,321.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.91 : 18,469.65 = 3,547.92 : x
  2. Step 2: Convert to fraction form
    12,314.91/18,469.65 = 3,547.92/x
  3. Step 3: Cross multiply
    12,314.91x = 18,469.65 × 3,547.92
  4. Step 4: Simplify right side
    12,314.91x = 65,528,840.63
  5. Step 5: Solve for x
    x = 65,528,840.63/12,314.91
  6. Step 6: Final answer
    x = 5,321.10

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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.