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Finding the Fourth Proportional to 9,678.92, 13,346.34 and 7,658.84

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Solution

The fourth proportional to 9,678.92, 13,346.34 and 7,658.84 is: 10,560.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.92 : 13,346.34 = 7,658.84 : x
  2. Step 2: Convert to fraction form
    9,678.92/13,346.34 = 7,658.84/x
  3. Step 3: Cross multiply
    9,678.92x = 13,346.34 × 7,658.84
  4. Step 4: Simplify right side
    9,678.92x = 102,217,482.65
  5. Step 5: Solve for x
    x = 102,217,482.65/9,678.92
  6. Step 6: Final answer
    x = 10,560.84

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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.