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Finding the Fourth Proportional to 12,005.64, 16,565.12 and 6,966.92

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Solution

The fourth proportional to 12,005.64, 16,565.12 and 6,966.92 is: 9,612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.64 : 16,565.12 = 6,966.92 : x
  2. Step 2: Convert to fraction form
    12,005.64/16,565.12 = 6,966.92/x
  3. Step 3: Cross multiply
    12,005.64x = 16,565.12 × 6,966.92
  4. Step 4: Simplify right side
    12,005.64x = 115,407,865.83
  5. Step 5: Solve for x
    x = 115,407,865.83/12,005.64
  6. Step 6: Final answer
    x = 9,612.80

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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.