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Finding the Fourth Proportional to 12,003.79, 16,565.22 and 6,970.96

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Solution

The fourth proportional to 12,003.79, 16,565.22 and 6,970.96 is: 9,619.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,003.79 : 16,565.22 = 6,970.96 : x
  2. Step 2: Convert to fraction form
    12,003.79/16,565.22 = 6,970.96/x
  3. Step 3: Cross multiply
    12,003.79x = 16,565.22 × 6,970.96
  4. Step 4: Simplify right side
    12,003.79x = 115,475,486.01
  5. Step 5: Solve for x
    x = 115,475,486.01/12,003.79
  6. Step 6: Final answer
    x = 9,619.92

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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.