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Finding the Fourth Proportional to 9,780.50, 13,504.49 and 6,008.84

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Solution

The fourth proportional to 9,780.50, 13,504.49 and 6,008.84 is: 8,296.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.50 : 13,504.49 = 6,008.84 : x
  2. Step 2: Convert to fraction form
    9,780.50/13,504.49 = 6,008.84/x
  3. Step 3: Cross multiply
    9,780.50x = 13,504.49 × 6,008.84
  4. Step 4: Simplify right side
    9,780.50x = 81,146,222.12
  5. Step 5: Solve for x
    x = 81,146,222.12/9,780.50
  6. Step 6: Final answer
    x = 8,296.74

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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.