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Finding the Fourth Proportional to 9,800.30, 13,513.28 and 8,855.84

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Solution

The fourth proportional to 9,800.30, 13,513.28 and 8,855.84 is: 12,211.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.30 : 13,513.28 = 8,855.84 : x
  2. Step 2: Convert to fraction form
    9,800.30/13,513.28 = 8,855.84/x
  3. Step 3: Cross multiply
    9,800.30x = 13,513.28 × 8,855.84
  4. Step 4: Simplify right side
    9,800.30x = 119,671,445.56
  5. Step 5: Solve for x
    x = 119,671,445.56/9,800.30
  6. Step 6: Final answer
    x = 12,211.00

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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.