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Finding the Fourth Proportional to 7,658.65, 11,478.70 and 3,492.96

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Solution

The fourth proportional to 7,658.65, 11,478.70 and 3,492.96 is: 5,235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.65 : 11,478.70 = 3,492.96 : x
  2. Step 2: Convert to fraction form
    7,658.65/11,478.70 = 3,492.96/x
  3. Step 3: Cross multiply
    7,658.65x = 11,478.70 × 3,492.96
  4. Step 4: Simplify right side
    7,658.65x = 40,094,639.95
  5. Step 5: Solve for x
    x = 40,094,639.95/7,658.65
  6. Step 6: Final answer
    x = 5,235.21

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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.