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Finding the Fourth Proportional to 9,285.84, 12,800.16 and 6,624.72

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Solution

The fourth proportional to 9,285.84, 12,800.16 and 6,624.72 is: 9,131.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.84 : 12,800.16 = 6,624.72 : x
  2. Step 2: Convert to fraction form
    9,285.84/12,800.16 = 6,624.72/x
  3. Step 3: Cross multiply
    9,285.84x = 12,800.16 × 6,624.72
  4. Step 4: Simplify right side
    9,285.84x = 84,797,475.96
  5. Step 5: Solve for x
    x = 84,797,475.96/9,285.84
  6. Step 6: Final answer
    x = 9,131.91

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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.