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Finding the Fourth Proportional to 9,788.85, 14,684.10 and 2,768.88

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Solution

The fourth proportional to 9,788.85, 14,684.10 and 2,768.88 is: 4,153.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.85 : 14,684.10 = 2,768.88 : x
  2. Step 2: Convert to fraction form
    9,788.85/14,684.10 = 2,768.88/x
  3. Step 3: Cross multiply
    9,788.85x = 14,684.10 × 2,768.88
  4. Step 4: Simplify right side
    9,788.85x = 40,658,510.81
  5. Step 5: Solve for x
    x = 40,658,510.81/9,788.85
  6. Step 6: Final answer
    x = 4,153.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.