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Finding the Fourth Proportional to 8,997.40, 12,409.50 and 7,813.72

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Solution

The fourth proportional to 8,997.40, 12,409.50 and 7,813.72 is: 10,776.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,997.40 : 12,409.50 = 7,813.72 : x
  2. Step 2: Convert to fraction form
    8,997.40/12,409.50 = 7,813.72/x
  3. Step 3: Cross multiply
    8,997.40x = 12,409.50 × 7,813.72
  4. Step 4: Simplify right side
    8,997.40x = 96,964,358.34
  5. Step 5: Solve for x
    x = 96,964,358.34/8,997.40
  6. Step 6: Final answer
    x = 10,776.93

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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.