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Finding the Fourth Proportional to 7,737.64, 10,653.66 and 6,828.21

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Solution

The fourth proportional to 7,737.64, 10,653.66 and 6,828.21 is: 9,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.64 : 10,653.66 = 6,828.21 : x
  2. Step 2: Convert to fraction form
    7,737.64/10,653.66 = 6,828.21/x
  3. Step 3: Cross multiply
    7,737.64x = 10,653.66 × 6,828.21
  4. Step 4: Simplify right side
    7,737.64x = 72,745,427.75
  5. Step 5: Solve for x
    x = 72,745,427.75/7,737.64
  6. Step 6: Final answer
    x = 9,401.50

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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.