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Finding the Fourth Proportional to 7,706.99, 10,636.65 and 5,723.21

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Solution

The fourth proportional to 7,706.99, 10,636.65 and 5,723.21 is: 7,898.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.99 : 10,636.65 = 5,723.21 : x
  2. Step 2: Convert to fraction form
    7,706.99/10,636.65 = 5,723.21/x
  3. Step 3: Cross multiply
    7,706.99x = 10,636.65 × 5,723.21
  4. Step 4: Simplify right side
    7,706.99x = 60,875,728.46
  5. Step 5: Solve for x
    x = 60,875,728.46/7,706.99
  6. Step 6: Final answer
    x = 7,898.77

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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.