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Finding the Fourth Proportional to 11,650, 16,084.32 and 8,992.48

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Solution

The fourth proportional to 11,650, 16,084.32 and 8,992.48 is: 12,415.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650 : 16,084.32 = 8,992.48 : x
  2. Step 2: Convert to fraction form
    11,650/16,084.32 = 8,992.48/x
  3. Step 3: Cross multiply
    11,650x = 16,084.32 × 8,992.48
  4. Step 4: Simplify right side
    11,650x = 144,637,925.91
  5. Step 5: Solve for x
    x = 144,637,925.91/11,650
  6. Step 6: Final answer
    x = 12,415.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.