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Finding the Fourth Proportional to 7,737.89, 10,654 and 6,828.46

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Solution

The fourth proportional to 7,737.89, 10,654 and 6,828.46 is: 9,401.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.89 : 10,654 = 6,828.46 : x
  2. Step 2: Convert to fraction form
    7,737.89/10,654 = 6,828.46/x
  3. Step 3: Cross multiply
    7,737.89x = 10,654 × 6,828.46
  4. Step 4: Simplify right side
    7,737.89x = 72,750,412.84
  5. Step 5: Solve for x
    x = 72,750,412.84/7,737.89
  6. Step 6: Final answer
    x = 9,401.84

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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.