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Finding the Fourth Proportional to 19,312.92, 28,969.38 and 12,431.16

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Solution

The fourth proportional to 19,312.92, 28,969.38 and 12,431.16 is: 18,646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,312.92 : 28,969.38 = 12,431.16 : x
  2. Step 2: Convert to fraction form
    19,312.92/28,969.38 = 12,431.16/x
  3. Step 3: Cross multiply
    19,312.92x = 28,969.38 × 12,431.16
  4. Step 4: Simplify right side
    19,312.92x = 360,122,997.88
  5. Step 5: Solve for x
    x = 360,122,997.88/19,312.92
  6. Step 6: Final answer
    x = 18,646.74

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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.